Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations

By Gui-qiong Xu. 2014

83 citations recorded by the source corpus.

The auxiliary equation method proposed by Sirendaoreji is extended to construct new types of elliptic function solutions of nonlinear evolution equations. The effectiveness of the extended method is demonstrated by applications to the RKL model, the generalized derivative NLS equation and the Kundu-Eckhaus equation. Not only are the Jacobian elliptic function solutions are derived, but also the solitary wave solutions and trigonometric function solutions are obtained in a unified way.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2a65bc7ade6e25432abab39ea1070fa1d077eaa9

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In Modeling and Simulation

1. Abdul-Ghani A. A. H. Al-Nowehy
2. Elsayed M. E. Zayed

In Statistical and Nonlinear Physics

1. Abdul-Ghani A. A. H. Al-Nowehy
2. Elsayed M. E. Zayed
3. M. Akbar

Citations in the corpus

• New extended auxiliary equation method for finding many new Jacobi elliptic function solutions of three nonlinear Schrödinger equations (2017, methodology): “A variety of powerful methods, such as the inverse scattering method,[1] the Hirota bilinear transform method,[2] the truncated Painlevé expansion method,[3,4] Bäcklund transformation,[5,6] the exp-function method,[7–11] the Jacobi elliptic function expansion method,[12–15] the ( G′/G ) -expansionme”