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Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system - MaRDI portal

Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system (Q1763303)

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scientific article; zbMATH DE number 2136190
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English
Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system
scientific article; zbMATH DE number 2136190

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    Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system (English)
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    22 February 2005
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    The authors consider the dynamical behavior of a generalized Hirota-Satsuma coupled system under a special constraint on the potentials. Using explicit formulas of various travelling wave solutions, the bifurcation set and phase portraits are provided. The results are also a supplement to the existing solution theory. The paper is clearly written and well structured.
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    solitary travelling wave solution
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    periodic travelling wave solution
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    kink
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    anti-kink
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    bifurcation
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