New solutions of coupled nonlocal NLS and coupled nonlocal mKdV equations

Khare, Avinash; Saxena, Avadh

doi:10.1016/j.aop.2024.169627

Title: New solutions of coupled nonlocal NLS and coupled nonlocal mKdV equations

Journal Article · Tue Feb 20 00:00:00 EST 2024 · Annals of Physics

DOI:https://doi.org/10.1016/j.aop.2024.169627· OSTI ID:2315664

Khare, Avinash ^[1];

^[2]

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

In this study, we provide several novel solutions of the coupled Ablowitz–Musslimani (AM) version of the nonlocal nonlinear Schrödinger (NLS) equation and the coupled nonlocal modified Korteweg–de Vries (mKdV) equation. In each case we compare and contrast the corresponding solutions of the relevant coupled local equations. Further, we provide new solutions of the coupled local NLS and coupled local mKdV equations which are not the solutions of the corresponding nonlocal equations. We also show that the nonlocal coupled (as well as uncoupled) mKdV equations have hidden Galilean invariance and admit novel solutions.

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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:: 89233218CNA000001; AC52-06NA25396; DEAC52-06NA25396

OSTI ID:: 2315664

Alternate ID(s):: OSTI ID: 2311223

Report Number(s):: LA-UR-23-33482

Journal Information:: Annals of Physics, Vol. 463; ISSN 0003-4916

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (17)

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Long-Time Asymptotics for the Nonlocal MKdV Equation* He, Feng-Jing; Fan, En-Gui; Xu, Jian Communications in Theoretical Physics, Vol. 71, Issue 5 https://doi.org/10.1088/0253-6102/71/5/475	journal	May 2019
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71 CLASSICAL AND QUANTUM MECHANICS
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Title: New solutions of coupled nonlocal NLS and coupled nonlocal mKdV equations

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