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

Discrete and Continuous Dynamical Systems - Series S (2020) 13(10) 2655-2665
DOI: 10.3934/dcdss.2020225
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Abstract

A family of modified Kadomtsev-Petviashvili equations (mKP) in 2+1 dimensions is studied. This family includes the integrable mKP equa-tion when the coeffcients 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 equation.

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Anco, S. C., Gandarias, M. L., & Recio, E. (2020). Conservation laws and line soliton solutions of a family of modified kp equations. Discrete and Continuous Dynamical Systems - Series S, 13(10), 2655–2665. https://doi.org/10.3934/dcdss.2020225

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