Application of He's semi-inverse method to the nonlinear Schrödinger equation
From MaRDI portal
Publication:928802
DOI10.1016/j.camwa.2006.12.047zbMath1157.65465OpenAlexW2013655122MaRDI QIDQ928802
Publication date: 11 June 2008
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.12.047
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
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Cites Work
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- Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. I: Expansion of a constant
- Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. II: A new transformation
- Exp-function method for nonlinear wave equations
- A review of the decomposition method in applied mathematics
- Analytical solution of a nonlinear oscillator by the linearized perturbation technique
- An analytical solution to the dissipative nonlinear Schrödinger equation.
- The homotopy perturbation method for nonlinear oscillators with discontinuities.
- Variational principles for some nonlinear partial differential equations with variable coefficients
- The decomposition method for studying the Klein-Gordon equation
- Modified straightforward expansion
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method
- Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method
- Bifurcations of a generalized Camassa-Holm equation
- On an improved complex tanh-function method
- Application of He's homotopy perturbation method to Volterra's integro-differential equation
- Homotopy perturbation method for bifurcation of nonlinear problems
- Homotopy perturbation method: a new nonlinear analytical technique
- Asymptotology by homotopy perturbation method
- Homotopy perturbation technique
- The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
- Limit cycle and bifurcation of nonlinear problems
- Application of homotopy perturbation method to nonlinear wave equations
- New periodic solutions for nonlinear evolution equations using Exp-function method
- Generalization of the method of slowly varying amplitude and phase to non-linear oscillatory systems with two degrees of freedom
- Modified Lindsted-Poincare Methods For Some Strongly Nonlinear Oscillations Part III : Double Series Expansion
- Iteration Perturbation Method for Strongly Nonlinear Oscillations
- A NEW PERTURBATION TECHNIQUE WHICH IS ALSO VALID FOR LARGE PARAMETERS
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Nonlinear boundary value problems in science and engineering
- A modified perturbation technique depending upon an artificial parameter
