Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations

Khare, Avinash; Saxena, Avadh Behari

doi:10.1063/5.0109384

Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations

Journal Article · Fri Dec 16 00:00:00 EST 2022 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/5.0109384· OSTI ID:2446665

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

In this work, we show that a number of nonlocal nonlinear equations, including the Ablowitz–Musslimani and Yang variant of the nonlocal nonlinear Schrödinger (NLS) equation, the nonlocal modified Korteweg de Vries (mKdV) equation, and the nonlocal Hirota equation, admit novel kinklike and pulselike superposed periodic solutions. Furthermore, we show that the nonlocal mKdV equation also admits the superposed (hyperbolic) kink–antikink solution. In addition, we show that while the nonlocal Ablowitz–Musslimani variant of the NLS admits complex parity-time reversal-invariant kink and pulse solutions, neither the local NLS nor the Yang variant of the nonlocal NLS admits such solutions. Finally, except for the Yang variant of the nonlocal NLS, we show that the other three nonlocal equations admit both the kink and pulse solutions in the same model.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396

OSTI ID:: 2446665

Alternate ID(s):: OSTI ID: 1905671

Report Number(s):: LA-UR--22-26779

Journal Information:: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 63; ISSN 0022-2488

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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