On the integrable perturbations of the Camassa–Holm equation
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Publication:2738000
DOI10.1063/1.533298zbMath1052.37058OpenAlexW1988492028MaRDI QIDQ2738000
A. I. Zenchuk, Murugaian Senthilvelan, Roberto A. Kraenkel
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.533298
Related Items (11)
New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa--Holm equations ⋮ Perturbative analysis of wave interaction in nonlinear systems ⋮ A note on solitary wave solutions of the nonlinear generalized Camassa-Holm equation ⋮ New exact solution of the conformable Gilson–Pickering equation using the new modified Kudryashov’s method ⋮ New peaked solitary wave solutions of the generalized Camassa-Holm equation ⋮ New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equa\-tion ⋮ Peakons, solitary patterns and periodic solutions for generalized Camassa-Holm equations ⋮ Normal Form and Solitons ⋮ The integral factor method for solving a class of generalized KdV equation ⋮ A three-component Camassa-Holm system with cubic nonlinearity and peakons ⋮ On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
Cites Work
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- On integrable systems with higher order corrections
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Guiding-center soliton
- An integrable shallow water equation with peaked solitons
- Camassa-Holm equation: transformation to deformed sinh-Gordon equations, cuspon and soliton solutions
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