Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions

In this paper, local and nonlocal reductions of two nonisospectral Ablowitz-Kaup-Newell-Segur equations, the third order nonisospectral AKNS equation and the negative order nonisospectral AKNS equation, are studied. By imposing constraint conditions on the double Wronskian solutions of the aforesaid...

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Bibliographic Details
Published in:Symmetry (Basel) 2021-01, Vol.13 (1), p.23
Main Authors: Xu, Hai Jing, Zhao, Song Lin
Format: Article
Language:English
Subjects:
dynamics
local and nonlocal nonisospectral mKdV equation
local and nonlocal nonisospectral sG equation
nonisospectral AKNS type equations
solutions
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Summary:In this paper, local and nonlocal reductions of two nonisospectral Ablowitz-Kaup-Newell-Segur equations, the third order nonisospectral AKNS equation and the negative order nonisospectral AKNS equation, are studied. By imposing constraint conditions on the double Wronskian solutions of the aforesaid nonisospectral AKNS equations, various solutions for the local and nonlocal nonisospectral modified Korteweg-de Vries equation and local and nonlocal nonisospectral sine-Gordon equation are derived, including soliton solutions and Jordan block solutions. Dynamics of some obtained solutions are analyzed and illustrated by asymptotic analysis.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13010023