Conservation laws and line soliton solutions of a family of modified KP equations

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URI: http://hdl.handle.net/10498/33313

DOI: 10.3934/dcdss.2020225

ISSN: 1937-1179

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Author/s
Anco, Stephen C.; Gandarias Núñez, María LuzAuthority UCA; Recio Rodríguez, ElenaAuthority UCA
Date
2020
Department
Matemáticas
Source
Discrete and Continuous Dynamical Systems - Series S - 13 (10) (2020) 2655–2665
Abstract
A family of modi ed Kadomtsev-Petviashvili equations (mKP) in 2+1 dimensions is studied. This family includes the integrable mKP equa- tion when the coe cients of the nonlinear terms and the transverse dispersion term satisfy an algebraic condition. The explicit line soliton solution and all conservation laws of low order are derived for all equations in the family and compared to their counterparts in the integrable c
Subjects
Modified KP equation; line soliton; conservation laws; 2+1 dimensions; kinematic properties
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional