Articles with "integrable equation" as a keyword



New exact solutions of a nonlinear integrable equation

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Published in 2020 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6419

Abstract: Analytic solutions of the partial differential equations are needed to explain many phenomena seen in thermodynamics, aerodynamics, plasma physics, and other fields. In this paper, variational principle is analyzed of the integrable nonlinear Korteweg–de Vries… read more here.

Keywords: integrable equation; new exact; solutions nonlinear; equation ... See more keywords

A new integrable equation combining the modified KdV equation with the negative-order modified KdV equation: multiple soliton solutions and a variety of solitonic solutions

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Published in 2018 at "Waves in Random and Complex Media"

DOI: 10.1080/17455030.2017.1367440

Abstract: Abstract A new third-order integrable equation is constructed via combining the recursion operator of the modified KdV equation (MKdV) and its inverse recursion operator. The developed equation will be termed the modified KdV-negative order modified… read more here.

Keywords: integrable equation; modified kdv; equation; negative order ... See more keywords

Multiple solitons with fission and multi waves interaction solutions of a (3+1)-dimensional combined pKP-BKP integrable equation

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Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad482b

Abstract: The potential Kadomtsev-Petviashvili (pKP) equation delineates the development of small-amplitude, nonlinear, long waves characterized by a gradual variation in the transverse coordinate. The B-type KP equation outlines the relationships among exponentially localized shapes and was… read more here.

Keywords: equation; pkp bkp; combined pkp; bkp integrable ... See more keywords