Articles with "integrable equation" as a keyword



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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
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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