Explicit peakon and solitary wave solutions for the modified Fornberg-Whitham equation
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Publication:606715
DOI10.1016/j.amc.2010.06.055zbMath1202.35190OpenAlexW2097444722MaRDI QIDQ606715
Publication date: 18 November 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.055
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items (13)
The classification and representation of single traveling wave solutions to the generalized Fornberg-Whitham equation ⋮ New approach for the Fornberg-Whitham type equations ⋮ A meshfree technique for the numerical solutions of nonlinear Fornberg-Whitham and Degasperis-Procesi equations with their modified forms ⋮ Travelling peakon and solitary wave solutions of modified Fornberg-Whitham equations with nonhomogeneous boundary conditions ⋮ Approximate solutions for Fornberg‐Whitham type equations ⋮ An analytical approach to the fornberg-whitham type equations by using the variational iteration method ⋮ New exact solution of the conformable Gilson–Pickering equation using the new modified Kudryashov’s method ⋮ Bifurcation and solitary-like solutions for compound KdV-Burgers-type equation ⋮ Kink-like wave and compacton-like wave solutions for a two-component Fornberg-Whitham equation ⋮ A numerical investigation of time-fractional modified Fornberg-Whitham equation for analyzing the behavior of water waves ⋮ Classical symmetries, travelling wave solutions and conservation laws of a generalized Fornberg-Whitham equation ⋮ The classification of the single traveling wave solutions to the modified Fornberg-Whitham equation ⋮ Conservation laws and exact solutions of the Whitham-type equations
Cites Work
- Unnamed Item
- A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
- Homotopy perturbation method for modified Camassa-Holm and Degasperis-Procesi equations
- New exact solutions for two nonlinear equations
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations
- Application of the integral bifurcation method for solving modified Camassa-Holm and Degasperis-Procesi equations
- Bifurcations of travelling wave solutions for a variant of Camassa-Holm equation
- A type of bounded traveling wave solutions for the Fornberg-Whitham equation
- Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
- Single peak solitary wave solutions for the osmosis \(K(2,2)\) equation under inhomogeneous boundary condition
- New exact bounded travelling wave solutions for the Zhiber-Shabat equation
- Travelling wave solutions of the Fornberg-Whitham equation
- Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
- Global weak solutions for a shallow water equation
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Inverse scattering transform for the Camassa–Holm equation
- A numerical and theoretical study of certain nonlinear wave phenomena
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- Microstructure evolution in an interstitial-free steel during cold rolling at low strain levels
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Particle trajectories in solitary water waves
- Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
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