Factorization technique and new exact solutions for the modified Camassa-Holm and Degasperis-Procesi equations
DOI10.1016/j.amc.2009.09.033zbMath1203.35233OpenAlexW1993797719MaRDI QIDQ609322
Yifang Liu, Juxiang He, Xiangyue Zhu
Publication date: 30 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.2009.09.033
solitary wave solutionmodified Camassa-Holm equationpeakon solitonfactorization techniquesmodified Degasperis-Procesi equation
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)
Related Items (4)
Cites Work
- Unnamed Item
- A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
- Global conservative solutions of the Camassa-Holm 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
- Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations
- New peaked solitary wave solutions of the generalized Camassa-Holm equation
- Characteristics and the initial value problem of a completely integrable shallow water equation
- Stability of the Camassa-Holm solitons
- Elliptic equation's new solutions and their applications to two nonlinear partial differential equations
- Single and multi-solitary wave solutions to a class of nonlinear evolution equations
- Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Stability for the periodic Camassa-Holm equation
- Inverse spectral transform for the (2 + 1)-dimensional Gardner equation
- The inverse scattering transform: Semi-infinite interval
- Multi-peakon solutions of the Degasperis–Procesi equation
- An integrable shallow water equation with peaked solitons
- A Note on the Degasperis-Procesi Equation
This page was built for publication: Factorization technique and new exact solutions for the modified Camassa-Holm and Degasperis-Procesi equations