Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation

Li, B.; Chen, Y.; Zhang, H. Q.

doi:10.1007/s00707-004-0156-4

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Cited by 7 publications

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“…Some KP equations have been studied by some authors. Li et al [15] obtained soliton-like solution and periodic form solution of a KP equation. Liu [16] gained a solution of the cKP equation by auto-Backlünd transformation.…”

Section: Introductionmentioning

confidence: 99%

Three types of generalized Kadomtsev–Petviashvili equations arising from baroclinic potential vorticity equation

et al. 2010

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Section: Introductionmentioning

confidence: 99%

Three types of generalized Kadomtsev–Petviashvili equations arising from baroclinic potential vorticity equation

et al. 2010

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show abstract

Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation

Wang-Chuan¹,

Li²

2009

Chaos, Solitons & Fractals

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Similarity Reductions of Nearly Concentric KdV Equation

Wang

2009

Commun. Theor. Phys.

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Basing on the direct method developed by Clarkson and Kruskal, the nearly concentric Korteweg-de Vries (ncKdV) equation can be reduced to three types of (1+1)-dimensional variable coefficients partial differential equations (PDEs) and three types of variable coefficients ordinary differential equation. Furthermore, three types of (1+1)-dimensional variable coefficients PDEs are all reduced to constant coefficients PDEs by some transformations.

show abstract

Soliton-like solutions and periodic form solutions for two variable-coefficient evolution equations using symbolic computation

Cited by 7 publications

References 29 publications

Three types of generalized Kadomtsev–Petviashvili equations arising from baroclinic potential vorticity equation

Three types of generalized Kadomtsev–Petviashvili equations arising from baroclinic potential vorticity equation

Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation

Similarity Reductions of Nearly Concentric KdV Equation

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