The explicit periodic wave solutions and their limit forms for a generalized \(b\)-equation
From MaRDI portal
Publication:287908
DOI10.1007/s10255-016-0581-xzbMath1370.34004OpenAlexW2342950961MaRDI QIDQ287908
Wei-bo Ye, Rui Liu, Yi-ren Chen
Publication date: 23 May 2016
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-016-0581-x
Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items (4)
Blow-up solutions for a case of \(b\)-family equations ⋮ Bifurcations of Solitary Waves of a Simple Equation ⋮ The Existence and Bifurcation of Peakon and Anti-Peakon to the n-Degree b-Equation ⋮ Bifurcations and Exact Solutions in a Nonlinear Wave Equation
Cites Work
- Unnamed Item
- Unnamed Item
- On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and \(b\)-equation
- 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
- Orbital stability of peakons with nonvanishing boundary for CH and CH-\(\gamma \) equations
- A new type of bounded waves for Degasperis-Procesi equation
- New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations
- Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
- New explicit periodic wave solutions and their limits for modified form of Camassa-Holm equation
- Soliton interactions for the Camassa-Holm equation
- New peaked solitary wave solutions of the generalized Camassa-Holm equation
- Closed-loop persistent identification of linear systems with unmodeled dynamics and stochastic disturbances
- Periodic cusp wave solutions and single-solitons for the \(b\)-equation
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Peakons of the Camassa-Holm equation
- The explicit nonlinear wave solutions of the generalized \(b\)-equation
- Bifurcations of smooth and nonsmooth traveling wave solutions in a generalized Degasperis-Procesi equation
- Bounded travelling wave solutions for a modified form of generalized Degasperis-Procesi equation
- Exact travelling wave solutions of a generalized Camassa-Holm equation using the integral bifurcation method
- 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
- COEXISTENCE OF MULTIFARIOUS EXACT NONLINEAR WAVE SOLUTIONS FOR GENERALIZED b-EQUATION
- Euler-Poincaré Formalism of (Two Component) Degasperis-Procesi and Holm-Staley type Systems
- COEXISTENCE OF MULTIFARIOUS EXPLICIT NONLINEAR WAVE SOLUTIONS FOR MODIFIED FORMS OF CAMASSA–HOLM AND DEGAPERIS–PROCESI EQUATIONS
- Multi-peakon solutions of the Degasperis–Procesi equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- The periodic b-equation and Euler equations on the circle
- PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
- Degasperis-Procesi peakons and the discrete cubic string
This page was built for publication: The explicit periodic wave solutions and their limit forms for a generalized \(b\)-equation