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New solutions of nonlocal NLS, mKdV and Hirota equations

Journal Article · · Annals of Physics
 [1];  [2]
  1. Savitribai Phule Pune University, Pune (India)
  2. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
In this paper, we provide several novel solutions of the Ablowitz–Musslimani and Yang’s versions of the nonlocal nonlinear Schrödinger (NLS) equation, nonlocal modified Korteweg–de Vries (mKdV) as well as nonlocal Hirota equations. Further, in each case we compare and contrast with the corresponding solutions of the relevant local equation. In addition, we provide new solutions of the local NLS, local mKdV and local Hirota equations which are not the solutions of the corresponding nonlocal equations.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001; AC52-06NA25396
OSTI ID:
2228655
Alternate ID(s):
OSTI ID: 2228520
Report Number(s):
LA-UR--23-25716
Journal Information:
Annals of Physics, Journal Name: Annals of Physics Vol. 460; ISSN 0003-4916
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

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Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions journal January 2020
Observation of parity–time symmetry in optics journal January 2010
Alice-Bob Physics: Coherent Solutions of Nonlocal KdV Systems journal April 2017
Korteweg‐de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation journal August 1968
Superposition of elliptic functions as solutions for a large number of nonlinear equations journal March 2014
Integrable nonlocal Hirota equations journal August 2019
Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations journal December 2022
Physical realization of -symmetric potential scattering in a planar slab waveguide journal February 2005
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation journal February 2016
Optical Solitons in P T Periodic Potentials journal January 2008
Beam Dynamics in P T Symmetric Optical Lattices journal March 2008
Observation of P T -Symmetry Breaking in Complex Optical Potentials journal August 2009
Integrable Nonlocal Nonlinear Schrödinger Equation journal February 2013
Integrable Nonlocal Nonlinear Equations journal November 2016

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