Connections between complex PT-invariant solutions and complex periodic solutions of several nonlinear equations

Khare, Avinash; Saxena, Avadh

doi:10.1088/1751-8121/ab4a33

Connections between complex PT-invariant solutions and complex periodic solutions of several nonlinear equations

Journal Article · Tue Oct 22 00:00:00 EDT 2019 · Journal of Physics. A, Mathematical and Theoretical

DOI:https://doi.org/10.1088/1751-8121/ab4a33· OSTI ID:1764950

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

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

We point out novel connections between complex PT-invariant solutions of several nonlinear equations such as $$\phi$$⁴, $$\phi$$⁶ sine-Gordon, hyperbolic sine-Gordon, double sine-Gordon, double hyperbolic sine-Gordon, mKdV, etc. We then use these connections to obtain several new complex PT-invariant periodic solutions of some of these equations.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Indian National Science Academy (INSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1764950

Alternate ID(s):: OSTI ID: 22988504

Report Number(s):: LA-UR--18-27424

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Issue: 46 Vol. 52; ISSN 1751-8113

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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