Construction of invariant solutions and conservation laws to the ( 2 + 1 ) $(2+1)$ -dimensional integrable coupling of the KdV equation
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DOI: 10.1186/s13661-020-01466-6
Abstract: Under investigation in this paper is the ( 2 + 1 ) $(2+1)$ -dimensional integrable coupling of the KdV equation which has applications in wave propagation on the surface of shallow water. Firstly, based on… read more here.
Keywords: coupling kdv; integrable coupling; dimensional integrable; conservation laws ... See more keywords
Integrable Coupling of Expanded Isospectral and Non-Isospectral Dirac Hierarchy and Its Reduction
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DOI: 10.3390/sym14122489
Abstract: In this paper, we first generalize the Dirac spectral problem to isospectral and non-isospectral problems and use the Tu scheme to derive the hierarchy of some new soliton evolution equations. Then, integrable coupling is obtained… read more here.
Keywords: integrable coupling; expanded isospectral; hierarchy; coupling expanded ... See more keywords