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

Journal Article · 08 December 2015 · Physics Letters. A

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

Khare, Avinash ^[1]; Saxena, Avadh  ^[2]

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1. Savitribai Phule Pune University, Pune (India)
2. 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.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: Laboratory Directed Research and Development (LDRD); USDOE
• Grant/Contract Number: AC52-06NA25396
• OSTI ID: 1457260
• Report Number(s): LA-UR-15-26927
• Journal Information: Physics Letters. A, Journal Name: Physics Letters. A Journal Issue: 7-8 Vol. 380; ISSN 0375-9601
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English