New exact periodic wave solutions for the Dullin-Gottwald-Holm equation
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Publication:427025
DOI10.1016/j.amc.2011.10.035zbMath1239.35133OpenAlexW2060352386MaRDI QIDQ427025
Yao Long, Zhenyang Li, Bin He, Qing Meng
Publication date: 13 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.035
exact solutioncompacton-like periodic waveDullin-Gottwald-Holm equationpeakon-like periodic wavesingular periodic wave
Related Items (10)
Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation ⋮ Bifurcations and nonlinear wave solutions for the generalized two-component integrable Dullin-Gottwald-Holm system ⋮ Three kinds of periodic wave solutions and their limit forms for a modified KdV-type equation ⋮ Orbital stability of the sum of \(N\) peakons for the Dullin-Gottwald-Holm equation ⋮ On the solutions of the Dullin-Gottwald-Holm equation in Besov spaces ⋮ Numerical solution of fractional <scp>Dullin–Gottwald–Holm</scp> equation for solitary shallow water waves ⋮ Various Exact Soliton Solutions and Bifurcations of a Generalized Dullin–Gottwald–Holm Equation with a Power Law Nonlinearity ⋮ EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION ⋮ Traveling wave solutions of generalized Dullin-Gottwald-Holm equation with parabolic law nonlinearity ⋮ New soliton and periodic wave solutions to the fractional DGH equation describing water waves in a shallow regime
Cites Work
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- 1-soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation
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- Peakons and periodic cusp wave solutions in a generalized Camassa-Holm equation
- The integral bifurcation method and its application for solving a family of third-order dispersive PDEs
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- Preliminary report on the energy balance for nonlinear oscillations.
- Extension on peaked wave solutions of CH-\(\gamma\) equation
- Four types of bounded wave solutions of CH-\(\gamma\) equation
- Exact peaked wave solution of CH-\(\gamma \) equation by the first-integral method
- Global existence and blow-up solutions for a nonlinear shallow water equation
- On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
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