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arXiv · 1509.02899

Novel PT-invariant Solutions For a Large Number of Real Nonlinear Equations

Avinash Khare·Avadh Saxena
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Abstract

For a large number of real nonlinear equations, either continuous or discrete, integrable or nonintegrable, we show that whenever a real nonlinear equation admits a solution in terms of $\sech x$, it also admits solutions in terms of the PT-invariant combinations $\sech x \pm i \tanh x$. Further, for a number of real nonlinear equations we show that whenever a nonlinear equation admits a solution in terms $\sech^2 x$, it also admits solutions in terms of the PT-invariant combinations $\sech^2 x \pm i \sech x \tanh x$. Besides, we show that similar results are also true in the periodic case involving Jacobi elliptic functions.

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Avinash Khare, Avadh Saxena. 2015-09-09. Novel PT-invariant Solutions For a Large Number of Real Nonlinear Equations. https://doi.org/10.1016/j.physleta.2015.12.007

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