Auto-Backlund Transformation for the r-th Double Modified Dispersionless Kadomtsev-Petviashvili Equation
Oleg I. Morozov, Maxim V. Pavlov
TL;DR
This paper derives an auto-Backlund transformation for a specific integrable PDE, the r-th double modified dispersionless KP equation, contributing to the understanding of its solution structure.
Contribution
It introduces an auto-Backlund transformation for the r-th double modified dispersionless KP equation, a novel result in the study of this class of equations.
Findings
Established an auto-Backlund transformation for the equation.
Enhanced methods for solving the r-th double modified dispersionless KP equation.
Provided new tools for analyzing integrable dispersionless PDEs.
Abstract
We find auto-Backlund transformation for the r-th double modified dispersionless Kadomtsev--Petviashvili equation.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality