The improved \(\exp\left(- \Phi \left(\xi\right)\right)\)-expansion method and new exact solutions of nonlinear evolution equations in mathematical physics

DOI10.1155/2019/4354310zbMath1418.35064OpenAlexW2935159901MaRDI QIDQ2425073

Hanze Liu, Guiying Chen, Xiang-Peng Xin

Publication date: 26 June 2019

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/4354310

zbMATH Keywords

unstable nonlinear Schrödinger equationill-posed Boussinesq equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)

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Cites Work

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• Application of Lie symmetry analysis and simplest equation method for finding exact solutions of Boussinesq equations
• A numerical study of an ill-posed Boussinesq equation arising in water and nonlinear lattices: Filtering and regularization techniques
• Nonlinear wave solutions of the three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma
• Periodic wave solutions to a coupled KdV equations with variable coefficients
• The tanh method for traveling wave solutions of nonlinear equations
• Exact soliton solutions of a \(D\)-dimensional nonlinear Schrödinger equation with damping and diffusive terms
• Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint
• Exact Solutions of Five Complex Nonlinear Schrödinger Equations by Semi-Inverse Variational Principle
• Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma
• New solitary wave solutions for the bad Boussinesq and good Boussinesq equations
• Construction of new solutions to the fully nonlinear generalized Camassa-Holm equations by an indirect F function method
• Variational method for the derivative nonlinear Schrödinger equation with computational applications
• Nonlinear Dispersive Instabilities in Kelvin–Helmholtz Magnetohydrodynamic Flows
• Application of the exp(-φ)-expansion method to the Pochhammer-Chree equation

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