Reliable analysis for obtaining exact soliton solutions of nonlinear Schrödinger (NLS) equation
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Publication:944894
DOI10.1016/j.chaos.2006.11.006zbMath1142.35605OpenAlexW2068913232MaRDI QIDQ944894
Publication date: 10 September 2008
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2006.11.006
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Cites Work
- Unnamed Item
- Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. I: Expansion of a constant
- Application of He's semi-inverse method to the nonlinear Schrödinger equation
- A new approach to the cubic Schrödinger equation: an application of the decomposition technique
- An analytical solution to the dissipative nonlinear Schrödinger equation.
- Two simple ansätze for obtaining exact solutions of high dispersive nonlinear Schrödinger equations
- A complex tanh-function method applied to nonlinear equations of Schrödinger type
- Exact solutions to two higher order nonlinear Schrödinger equations
- Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity
- A numerical solution and an exact explicit solution of the NLS equation
- Determination of periodic solution for a u1/3 force by He's modified Lindstedt–Poincaré method
