arXiv subjects

Abhik Mukherjee

Publications and source records attributed to Abhik Mukherjee.

20 records · Page 2Linked to original sources

arXiv2014

Phase modulated solitary waves controlled by bottom boundary condition

A forced KdV equation is derived to describe weakly nonlinear, shallow water surface wave propagation over non trivial bottom boundary condition. We show that different functional forms of bottom boundary conditions self-consistently produce different forced kdV equations as the evolution equations for the free surface. Solitary wave solutions have been analytically obtained where phase gets modulated controlled by bottom boundary condition whereas amplitude remains constant.

nlin.PS↗

arXiv2013

Novel integrable higher-dimensional nonlinear Schroedinger equation: properties, solutions, applications

An integrable extension of the well known nonlinear Schroedinger (NLS) equation to a higher space-dimension, recently proposed by us, is investigated, exploring its various important aspects. Focusing on the idea of construction its connection with other known models like the Zakharov equation and the Strachan construction is shown. The underlying integrable structures like the Lax pair, the infinite conserved charges and the higher soliton solutions are presented in the explicit form. The related 2D rogue wave model and other applications are focused on.

nlin.SI↗