Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations

Khare, Avinash; Saxena, Avadh

doi:10.1063/5.0109384

Title: 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:1905671

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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.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: DEAC52-06NA25396

OSTI ID:: 1905671

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

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

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