Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes
From MaRDI portal
Publication:861121
DOI10.1016/j.amc.2006.04.002zbMath1106.65109OpenAlexW2052255683MaRDI QIDQ861121
Publication date: 9 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.002
periodic solutionssolitonskinkscompactonssolitary wave solutionspeakonscompletely integrable wave equationfamily of Camassa-Holm equations
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items
A note on solitary wave solutions of the nonlinear generalized Camassa-Holm equation ⋮ Symmetry reduced and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with \(p\)-power ⋮ A simple method and its applications to nonlinear partial differential equations ⋮ Symmetry, pulson solution, and conservation laws of the Holm-Hone equation ⋮ Differential transform method for solving solitary wave with discontinuity ⋮ New exact periodic wave solutions for the Dullin-Gottwald-Holm equation ⋮ Bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation ⋮ New exact solution of the conformable Gilson–Pickering equation using the new modified Kudryashov’s method ⋮ Multiple soliton solutions and fusion interaction phenomena for the \((2 + 1)\)-dimensional modified dispersive water-wave system ⋮ Symmetry reductions and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with p-power ⋮ Explicit peaked wave solutions to the generalized Camassa-Holm equation ⋮ Smooth and non-smooth traveling wave solutions of the Fornberg-Whitham equation with linear dispersion term ⋮ 1-soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation ⋮ Homoclinic breather-wave solutions and doubly periodic wave solutions for coupled KdV equations ⋮ Two types of bounded traveling-wave solutions of a two-component Camassa-Holm equation ⋮ Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations
Cites Work
- Unnamed Item
- Compactons in a class of nonlinear dispersive equations.
- New peaked solitary wave solutions of the generalized Camassa-Holm equation
- Peaked wave solutions of Camassa-Holm equation
- Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons
- Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- New compact and noncompact solutions for two variants of a modified Camassa-Holm equation
- A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
- A study on nonlinear dispersive partial differential equations of compact and noncompact solutions
- A construction of compact and noncompact solutions for nonlinear dispersive equations of even order
- Peakons of the Camassa-Holm equation
- Peakons and periodic cusp waves in a generalized Camassa-Holm equation
- An analytic study of compactons structures in a class of nonlinear dispersive equations
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- On the Integrability of a Class of Nonlinear Dispersive Wave Equations
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- An integrable shallow water equation with peaked solitons
- Peakon solutions of the shallow water equation
