Periodic and solitary wave solutions of the attractive and repulsive nonlinear Schrödinger equation
DOI10.1080/00207160903026642zbMath1191.65135OpenAlexW1995986180MaRDI QIDQ3568445
Publication date: 11 June 2010
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160903026642
symbolic computationexact solutionsnonlinear evolution equationperiodic wave solutionssolitary wave solutionsfirst integral methodattractive and repulsive nonlinear Schrödinger equation
Symbolic computation and algebraic computation (68W30) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear higher-order PDEs (35G20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Cites Work
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
- A new application of Riccati equation to some nonlinear evolution equations
- Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
- The first integral method for solving some important nonlinear partial differential equations
- The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
- The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
- Exp-function method for nonlinear wave equations
- The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
- A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
- A sine-cosine method for handling nonlinear wave equations
- The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation
- The tanh method for traveling wave solutions of nonlinear equations
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- A note on the homogeneous balance method
- New periodic solutions for nonlinear evolution equations using Exp-function method
- Extended tanh-function method and its applications to nonlinear equations
- Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine–cosine method
- The first-integral method to study the Burgers–Korteweg–de Vries equation
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- The tanh method and the sine–cosine method for solving the KP-MEW equation
- Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods
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