arXiv subjects

Bo Ren

Publications and source records attributed to Bo Ren.

69 records · Page 4Linked to original sources

arXiv2016

Interaction solutions for supersymmetric mKdV-B equation

The ${\cal N} =1$ supersymmetric mKdV-B system is transformed to a system of coupled bosonic equations by using the bosonization approach. The bosonized supersymmetric mKdV-B (BSmKdV-B) equation can be solved by the usual mKdV equation together with a linear differential equations without fermionic variables. The bosonization approach can thus effectively avoid difficulties caused by anticommutative fermionic fields of the supersymmetric systems. The consistent tanh expansion (CTE) method is applied to the BSmKdV-B equation. An auto-Bäcklund (BT) theorem is obtained by using CTE method. The interaction solutions among solitons and other complicated waves including Painlevé waves and periodic cnoidal waves are given through an auto-BT theorem. For the soliton-cnoidal interaction solution, two concrete cases are investigated both in analytical and graphical ways by combining the mapping and deformation method.

nlin.SI↗

arXiv2015

Interaction solutions for mKP equation with nonlocal symmetry reductions and CTE method

The nonlocal symmetries for the modified Kadomtsev-Petviashvili (mKP) equation are obtained with the truncated Painleve method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables. The finite symmetry transformations and similarity reductions related with the nonlocal symmetries are computed. The multi-solitary wave solution and interaction solutions among a soliton and the cnoidal waves of the mKP equation are presented. In the meanwhile, the consistent tanh expansion (CTE) method is applied to the mKP equation. The explicit interaction solutions among a soliton and other types of nonlinear waves such as the cnoidal periodic waves and multiple resonant soliton solutions are given.

nlin.SI↗

arXiv2014

New interaction solutions from Lax pair related symmetry of the Generalized fifth order KdV equation

The nonlocal symmetry of the generalized fifth order KdV equation (FOKdV) is first obtained by using the related Lax pair and then localized in a new enlarged system by introducing some new variables. On this basis, new Backlund transformation is obtained through Lie's first theorem. Furthermore, the general form of Lie point symmetry for the enlarged FOKdV system is found and new interaction solutions for the FOKdV equation are explored by using classical symmetry reduction method.

nlin.SI↗

arXiv2014

Dark parameterization approach to Ito equation

The novel coupling Ito systems are obtained with the dark parameterization approach. By solving the coupling equations, the traveling wave solutions are constructed with the mapping and deformation method. Some novel types of exact solutions are constructed with the solutions and symmetries of the usual Ito equation. In the meanwhile, the similarity reduction solutions of the model are also studied with the Lie point symmetry theory.

nlin.SI↗

arXiv2014

Bosonization, Painleve property, exact solutions for N=1 supersymmetric mKdV equation

The N=1 supersymmetric modified Korteweg-de Vries (SmKdV) system is transformed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV (BSmKdV) passes the Painlevé test and allows a set of Bäcklund transformation (BT) by truncating the series expansions of the solutions about the singularity manifold. The traveling wave solutions of the BSmKdV system are obtained using the mapping and deformation method. Some special types of exact solutions for the BSmKdV system are found with the solutions and symmetries of the usual mKdV equation. In the meanwhile, the similarity reduction solutions of the system are investigated by using the Lie point symmetry theory. The generalized tanh function expansion method for the BSmKdV system leads to a nonauto-BT theorem. Using the nonauto-BT theorem, the novel exact explicit solutions of the BSmKdV system can be obtained. All these solutions obtained via the bosonization procedure are different from those obtained via other methods.

nlin.SI↗

arXiv2014

Backlund transformations for Burgers Equation via localization of residual symmetries

In this paper, we obtained the non-local residual symmetry related to truncated Painlevé expansion of Burgers equation. In order to localize the residual symmetry, we introduced new variables to prolong the original Burgers equation into a new system. By using Lie's first theorem, we got the finite transformation for the localized residual symmetry. More importantly, we also localized the linear superposition of multiple residual symmetries to find the corresponding finite transformations. It is interesting to find that the nth Backlund transformation for Burgers equation can be expressed by determinants in a compact way.

nlin.SI↗

arXiv2013

New interaction solutions of Kadomtsev-Petviashvili equation

The residual symmetry coming from truncated Painleve expansion of KP equation is nonlocal, which is localized in this paper by introducing multiple new dependent variables. By using the standard Lie group approach, the symmetry reduction solutions for KP equation is obtained based on the general form of Lie point symmetry for the prolonged system. In this way, the interaction solutions between solitons and background waves is obtained, which is hard to study by other traditional methods.

nlin.SI↗

arXiv2013

New symmetry reductions related with the residual symmetry of Boussinesq equation

The Backlund transformation related symmetry is nonlocal, which is hardly to apply in constructing solutions for nonlinear equations. In this paper, we first localize nonlocal residual symmetry to Lie point symmetry by introducing multiple new variables and obtain new Baaklund transformation. Then, by solving out the general form of localized the residual symmetry, we reduce the enlarged system by classical symmetry approach and obtain the corresponding reduction solutions as well as related reduction equations. The localization procedure provides a new way to investigate interaction solutions between different waves.

nlin.SI↗

arXiv2013

Residual Symmetry Reductions and Interaction Solutions of (2+1)-Dimensional Burgers Equation

The (2+1)-dimensional Burgers equation has been investigated first from prospective of symmetry by localizing the nonlocal residual symmetries and then studied by a simple generalized tanh expansion method. New symmetry reduction solutions has been obtained by using the standard Lie point symmetry group approach. A new Bäklund transformation for Burgers equation has been given with the generalized tanh expansion method . From this BT, interactive solutions among different nonlinear excitations which is hard to obtain by other methods has also been obtained easily.

nlin.SI↗

arXiv2013

Lepton number violation and $h\to γγ$ in a radiative inverse seesaw dark matter model

We study phenomenological implications of a radiative inverse seesaw dark matter model. In this model, because neutrino masses are generated at two loop level with inverse seesaw, the new physics mass scale can be as low as a few hundred GeV and the model also naturally contain dark matter candidate. The Yukawa couplings linking the SM leptons and new particles can be large. This can lead to large lepton flavor violating effects. We find that future experimental data on $μ\to e γ$ and $μ- e$ conversion can further test the model. The new charged particles can affect significantly the $h \to γγ$ branching ratio in the SM. The model is able to explain the deviation between the SM prediction and the LHC data. We also study some LHC signatures of the new particles in the model.

hep-ph↗

arXiv2012

Hints of Standard Model Higgs Boson at the LHC and Light Dark Matter Searches

The most recent results of searches at the LHC for the Higgs boson h have turned up possible hints of such a particle with mass m_h about 125 GeV consistent with standard model (SM) expectations. This has many potential implications for the SM and beyond. We consider some of them in the contexts of a simple Higgs-portal dark matter (DM) model, the SM plus a real gauge-singlet scalar field D as the DM candidate, and a couple of its variations. In the simplest model with one Higgs doublet and three or four generations of fermions, for D mass m_D < m_h/2 the invisible decay h -> DD tends to have a substantial branching ratio. If future LHC data confirm the preliminary Higgs indications, m_D will have to exceed m_h/2. To keep the DM lighter than m_h/2, one will need to extend the model and also satisfy constraints from DM direct searches. The latter can be accommodated if the model provides sizable isospin violation in the DM-nucleon interactions. We explore this in a two-Higgs-doublet model combined with the scalar field D. This model can offer a 125-GeV SM-like Higgs and a light DM candidate having isospin-violating interactions with nucleons at roughly the required level, albeit with some degree of fine-tuning.

hep-ph↗

arXiv2011

LHC Evidence Of A 126 GeV Higgs Boson From $H \to γγ$ With Three And Four Generations

Searches for Higgs boson at the LHC have excluded standard model (SM) Higgs boson mass in the range between 127 GeV to 600 GeV. With a fourth generation, the excluded range is wider. To close the windows between 114 GeV to 127 GeV, the mode $H \to γγ$ plays an important role. There are evidences that the Higgs boson mass is about 126 GeV from LHC data. $H\to γγ$ can occur at one loop level in the SM. In the SM with three generations (SM3), the dominant contribution is from W boson with some cancellation from top quark in the loop. With SM4, the large mass of the fourth generation quarks and charged lepton cancel the W boson contribution significantly, the decay width is suppressed by a factorin the range of 0.25 $\sim$ 0.55 for the fourth generation mass in the range of 500 to 1000 GeV. This reduction factor makes $σ(pp\to H X)Br(H\to γγ)$ for SM4 comparable to that for SM3 for Higgs boson mass in the window allowed mentioned earlier. Using $H \to γγ$ alone, therefore, it is difficult at present to distinguish whether the Higgs boson is from SM3 or SM4. We also comments on some other detection channels.

hep-ph↗

arXiv2011

A Higgs Quadruplet for Type III Seesaw and Implications for $μ\to eγ$ and $μ- e$ Conversion

In Type III seesaw model the heavy neutrinos are contained in leptonic triplet representations. The Yukawa couplings of the triplet fermion and the left-handed neutrinos with the doublet Higgs field produce the Dirac mass terms. Together with the Majorana masses for the leptonic triplets, the light neutrinos obtain non-zero seesaw masses. We point out that it is also possible to have a quadruplet Higgs field to produce the Dirac mass terms to facilitate the seesaw mechanism. The vacuum expectation value of the quadruplet Higgs is constrained to be small by electroweak precision data. Therefore the Yukawa couplings of a quadruplet can be much larger than those for a doublet. We also find that unlike the usual Type III seesaw model where at least two copies of leptonic triplets are needed, with both doublet and quadruplet Higgs representations, just one leptonic triplet is possible to have a phenomenologically acceptable model because light neutrino masses can receive sizable contributions at both tree and one loop levels. Large Yukawa couplings of the quadruplet can induce observable effects for lepton flavor violating processes $μ\to e γ$ and $μ- e$ conversion. Implications of the recent $μ\to eγ$ limit from MEG and also limit on $μ- e $ conversion on Au are also given. Some interesting collider signatures for the doubly charged Higgs boson in the quadruplet are discussed.

hep-ph↗

arXiv2011

Low Mass Dark Matter and Invisible Higgs Width In Darkon Models

The Standard Model (SM) plus a real gauge-singlet scalar field dubbed darkon (SM+D) is the simplest model possessing a weakly interacting massive particle (WIMP) dark-matter candidate. In this model, the parameters are constrained from dark matter relic density and direct searches. The fact that interaction between darkon and SM particles is only mediated by Higgs boson exchange may lead to significant modifications to the Higgs boson properties. If the dark matter mass is smaller than a half of the Higgs boson mass, the Higgs boson can decay into a pair of darkons resulting in a large invisible branching ratio. The Higgs boson will be searched for at the LHC and may well be discovered in the near future. If a Higgs boson with a small invisible decay width will be found, the SM+D model with small dark matter mass will be in trouble. We find that by extending the SM+D to a two-Higgs-doublet model plus a darkon (THDM+D) it is possible to have a Higgs boson with a small invisible branching ratio and at the same time the dark matter can have a low mass. We also comment on other implications of this model.

hep-ph↗

arXiv2010

Large Dimuon Asymmetry In Bs-bar B_s Mixing From Unparticle Indced Gamma^{12}_s

Exchange of unparticle stuff of dimension $d_\U$ with FCNC interaction can induce $M^{12,u}$ and $Γ^{12,u}$ causing meson and anti-meson mixing with the relation $Γ^{12,u}/M^{12,u} = 2 \tan(πd_\U)$. We show that this type of unparticle contribution can provide the much needed large $Γ^{12}_s$ to explain the recently observed anomalously large dimuon asymmetry in $B_s -\bar B_s$ system reported by D0 collaboration. The same interaction can also accommodate large mixing induced CP violation in $B_s \to J/ψϕ$ indicated by CDF and D0 data. Experimental data can provide constraints on the unparticle dimension and scale.

hep-ph↗