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- Title
Local and Nonlocal Reductions of Two Nonisospectral Ablowitz-Kaup-Newell-Segur Equations and Solutions.
- Authors
Xu, Hai Jing; Zhao, Song Lin
- Abstract
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.
- Subjects
JORDAN; SINE-Gordon equation; KORTEWEG-de Vries equation; EQUATIONS
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 1, p23
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13010023