On nonclassical symmetries, Painlevé analysis and soliton solutions of three-coupled korteweg–de vries (KdV) system
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DOI: 10.1088/1402-4896/ad9a12
Abstract: The three coupled KdV system is investigated for exact solutions and Painlevé analysis. Exact solutions are examined through nonclassical symmetries via Bluman and Cole approach. Derived symmetries are generalizations of earlier obtained symmetries of the… read more here.
Keywords: soliton; three coupled; system; kdv system ... See more keywords
Fundamental Solutions for the Coupled KdV System and Its Stability
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DOI: 10.3390/sym12030429
Abstract: In this paper, we establish exact solutions for the non-linear coupled KdV equations. The exp-function method is used to construct the solitary travelling wave solutions for these equations. The numerical adaptive moving mesh PDEs (MMPDEs)… read more here.
Keywords: kdv system; fundamental solutions; coupled kdv; kdv ... See more keywords
Classical Solutions for the Generalized Kawahara–KdV System
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DOI: 10.3390/sym15061159
Abstract: In this article, we investigate the generalized Kawahara–KdV system. A new topological approach is applied to prove the existence of at least one classical solution and at least two non-negative classical solutions. The arguments are… read more here.
Keywords: classical solutions; kdv system; generalized kawahara; kawahara kdv ... See more keywords