dc.contributor.author | Zhang, Lijun | |
dc.contributor.author | Khalique, Chaudry Masood | |
dc.date.accessioned | 2018-07-27T08:08:41Z | |
dc.date.available | 2018-07-27T08:08:41Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Zhang, L. & Khalique, C.M. 2017. Quasi-periodic wave solutions and two-wave solutions of the KdV-Sawada-Kotera-Ramani equation. Nonlinear Dynamics, 87(3):1985-1993. [https://link.springer.com/article/10.1007/s11071-016-3168-4] | |
dc.identifier.issn | 0924-090X | |
dc.identifier.issn | 1573-269X (Online) | |
dc.identifier.uri | https://link.springer.com/article/10.1007/s11071-016-3168-4 | |
dc.identifier.uri | http://hdl.handle.net/10394/30317 | |
dc.description.abstract | The two-wave solutions of the KdV–Sawada–Kotera–Ramani equation are studied in this paper. By reducing this high-order wave equation into two associated solvable ordinary differential equations, we derive the two-wave solutions in the form u(x,t)=U(x−c1t)+V(x−c2t) which includes solitary wave solutions, periodic solutions and quasi-periodic wave solutions by letting c1=c2. We obtain a family of new exact two-wave solutions combined by a solitary wave and a periodic wave with two different wave speeds. These new exact two-wave solutions are neither periodic nor quasi-periodic wave solutions but approximating periodic wave solutions as time tends to infinity. The process of translation of the two-wave solution combined by two solitary wave solutions is illustrated by simulation. The approach presented in this work might be applied to study the bifurcation of multi-wave solutions of some important high-order nonlinear wave model equations. | |
dc.language.iso | en | |
dc.publisher | Springer | |
dc.publisher | Springer | |
dc.subject | The KdV-Sawada-Kotera-Ramani equation | |
dc.subject | Two-wave solutions | |
dc.subject | Quasi-periodic solutions | |
dc.title | Quasi-periodic wave solutions and two-wave solutions of the KdV-Sawada-Kotera-Ramani equation | |
dc.type | Article | |
dc.contributor.researchID | 20559860 - Khalique, Chaudry Masood | |