an:05314059
Zbl 1181.35255
Wang, Mingliang; Li, Xiangzheng
Extended \(F\)-expansion method and periodic wave solutions for the generalized Zakharov equations
EN
Phys. Lett., A 343, No. 1-3, 48-54 (2005).
00229633
2005
j
35Q53 35B10
extended \(F\)-expansion; generalized Zakharov equations; periodic wave solutions; Jacobi elliptic functions; solitary wave solutions
Summary: We present an extended \(F\)-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 more recently. By using the extended \(F\)-expansion, without calculating Jacobi elliptic functions, we obtain simultaneously a number of periodic wave solutions expressed by various Jacobi elliptic functions for the generalized Zakharov equations. In the limit cases, the solitary wave solutions are obtained as well.