Novel PT-invariant solutions for a large number of real nonlinear equations

Khare, Avinash; Saxena, Avadh

doi:10.1016/j.physleta.2015.12.007

Title: Novel PT-invariant solutions for a large number of real nonlinear equations

Journal Article · Wed Dec 09 00:00:00 EST 2015 · Physics Letters. A

DOI:https://doi.org/10.1016/j.physleta.2015.12.007· OSTI ID:1457260

Khare, Avinash ^[1];

^[2]

Savitribai Phule Pune University, Pune (India)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We report that 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 ± i tanh x. Additionally, for a number of real nonlinear equations we show that whenever a nonlinear equation admits a solution in terms sech² x, it also admits solutions in terms of the PT-invariant combinations sech² x ± 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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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1457260

Alternate ID(s):: OSTI ID: 1246552

Report Number(s):: LA-UR-15-26927; TRN: US1901339

Journal Information:: Physics Letters. A, Vol. 380, Issue 7-8; ISSN 0375-9601

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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Cited By (3)

Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations Khare, Avinash; Saxena, Avadh Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 17 https://doi.org/10.1088/1751-8121/aab4d8	journal	April 2018
Connections between complex PT-invariant solutions and complex periodic solutions of several nonlinear equations Khare, Avinash; Saxena, Avadh Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 46 https://doi.org/10.1088/1751-8121/ab4a33	journal	October 2019
Connections Between Complex PT-Invariant Solutions and Complex Periodic Solutions of Several Nonlinear Equations Khare, Avinash; Saxena, Avadh arXiv https://doi.org/10.48550/arxiv.1808.02159	text	January 2018

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