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