Applications of F-expansion to Periodic Wave Solutions for Variant Boussinesq Equations |
| |
| Authors: | WANG Yue-Ming LI Xiang-Zheng YANG Sen WANG Ming-Liang |
| |
| Affiliation: | Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China;Department of Mathematics, Lanzhou University, Lanzhou 730000, China |
| |
| Abstract: | We present an F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed recently. By using the F-expansion, without calculating Jacobi elliptic functions, we obtain simultaneously many periodic wave solutions expressed by various Jacobi elliptic functions for the variant Boussinesq equations. When the modulus m approaches 1 and 0, the hyperbolic function solutions (including the solitary wave solutions) and trigonometric solutions are also given respectively. |
| |
| Keywords: | F-expansion vriant Boussinesq equations periodic wave solutions Jacobi elliptic functions solitary wave solutions |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
