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Nonisospectral Kadomtsev–Petviashvili equations from the Cauchy matrix approach
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Journal Article
Nonisospectral Kadomtsev–Petviashvili equations from the Cauchy matrix approach
2024
Overview
The Cauchy matrix approach is developed for solving nonisospectral Kadomtsev–Petviashvili equation and the nonisospectral modified Kadomtsev–Petviashvili equation. By means of a Sylvester equation
, a set of scalar master functions
are defined. We derive the evolution of scalar functions using the nonisospectral dispersion relations. Some explicit solutions are illustrated together with the analysis of their dynamics.
Publisher
Pleiades Publishing,Springer Nature B.V
