COEXISTENCE OF MULTIFARIOUS EXPLICIT NONLINEAR WAVE SOLUTIONS FOR MODIFIED FORMS OF CAMASSA–HOLM AND DEGAPERIS–PROCESI EQUATIONS
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Publication:3649637
DOI10.1142/S0218127409024050zbMath1176.34005OpenAlexW1985186350MaRDI QIDQ3649637
Publication date: 4 December 2009
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127409024050
Periodic solutions to ordinary differential equations (34C25) KdV equations (Korteweg-de Vries equations) (35Q53) Explicit solutions, first integrals of ordinary differential equations (34A05) Soliton equations (35Q51) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
Related Items (10)
The explicit periodic wave solutions and their limit forms for a generalized \(b\)-equation ⋮ Bifurcations of Solitary Waves of a Simple Equation ⋮ The Existence and Bifurcation of Peakon and Anti-Peakon to the n-Degree b-Equation ⋮ A note on exact travelling wave solutions for the modified Camassa-Holm and Degasperis-Procesi equations ⋮ Cusped and smooth solitons for the generalized Camassa-Holm equation on the nonzero constant pedestal ⋮ THE EXPLICIT NONLINEAR WAVE SOLUTIONS AND THEIR BIFURCATIONS OF THE GENERALIZED CAMASSA–HOLM EQUATION ⋮ EXPLICIT PERIODIC WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR GENERALIZED CAMASSA–HOLM EQUATION ⋮ COEXISTENCE OF MULTIFARIOUS EXACT NONLINEAR WAVE SOLUTIONS FOR GENERALIZED b-EQUATION ⋮ Several new types of bounded wave solutions for the generalized two-component Camassa-Holm equation ⋮ Extension on peakons and periodic cusp waves for the generalization of the Camassa-Holm equation
Cites Work
- The sub-ODE method for finding exact travelling wave solutions of generalized nonlinear Camassa-Holm, and generalized nonlinear Schrödinger equations
- A generalized auxiliary equation method and its application to nonlinear Klein-Gordon and generalized nonlinear Camassa-Holm equations
- A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
- New exact solutions for two nonlinear equations
- A new type of bounded waves for Degasperis-Procesi equation
- Compacton-like wave and kink-like wave of GCH equation
- Global conservative solutions of the Camassa-Holm equation
- On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation
- New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations
- Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
- Traveling wave solutions of the Degasperis-Procesi equation
- Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method
- Decomposition method for the Camassa-Holm equation
- New `ansatz' for obtaining wave solutions of the generalized Camassa-Holm equation
- Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation
- The N -soliton solution of the Degasperis–Procesi equation
- Inverse scattering transform for the Camassa–Holm equation
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- Evolution of the Scattering Coefficients of the Camassa–Holm Equation, for General Initial Data
- PERIODIC WAVES AND THEIR LIMITS FOR THE CAMASSA–HOLM EQUATION
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Introduction: some recent developments of nonlinear water wave theory
- Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation
- Initial Boundary Value Problems of the Camassa–Holm Equation
- PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
- Real-valued algebro-geometric solutions of the Camassa–Holm hierarchy
- Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit
- Orbital stability of solitary waves for a shallow water equation
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