Extended F-expansion method and periodic wave solutions for the generalized Zakharov equations
By Mingliang Wang, Xiangzheng Li. 2005
260 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7229b6d6465f6384bec003f9dee2e666eb8481b6
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method (2014, methodology): “Recently the auto-Bäcklund transformation that was extrapolated in [10-14] and the homogeneous balance method in [15-19] were used to find solutions for evolution equations with variable coefficients in the form u(x, t) = ∂m−2 ∂xm−2 (a (φ)φx) + u(x, t), where φ is the base function.”