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Soliton interactions for the Camassa-Holm equation

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Publication:1364158
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zbMath0879.35121MaRDI QIDQ1364158

Adrian Constantin

Publication date: 29 January 1998

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

shallow water equationCamassa-Holm equationcollisionsinteracting solitary waves


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51)


Related Items

The explicit periodic wave solutions and their limit forms for a generalized \(b\)-equation ⋮ Exact kink wave solutions and peakons of a generalized Camassa-Holm equation ⋮ Exact travelling wave solutions of a generalized Camassa-Holm equation using the integral bifurcation method ⋮ Bifurcations of travelling wave solutions for a variant of Camassa-Holm equation ⋮ Numerical simulation of Camassa-Holm peakons by adaptive upwinding. ⋮ Periodic cusp wave solutions and single-solitons for the \(b\)-equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ Bifurcations and exact bounded travelling wave solutions for a partial differential equation ⋮ Peakons of the Camassa-Holm equation ⋮ Peakons and periodic cusp waves in a generalized Camassa-Holm equation ⋮ Peaked wave solutions of CH-r equation



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