Bilinear equation of the nonlinear partial differential equation and its application

DOI10.1155/2020/4912159zbMath1439.35018OpenAlexW3023710029WikidataQ114070366 ScholiaQ114070366MaRDI QIDQ2179421

Xiao-Feng Yang, Yi Wei

Publication date: 12 May 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4912159

zbMATH Keywords

Boussinesq equationBurgers equationSawada-Kotera equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25)

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Cites Work

• Unnamed Item
• Unnamed Item
• The first integral method and its application for deriving the exact solutions of a higher-order dispersive cubic-quintic nonlinear Schrödinger equation
• The first integral method for some time fractional differential equations
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method
• Existence and asymptotic properties of solutions for a nonlinear Schrödinger elliptic equation from geophysical fluid flows
• A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application
• Nonlocal modified KdV equations and their soliton solutions by Hirota method
• Nonlocal fractional order differential equations with changing-sign singular perturbation
• Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method
• Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
• A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
• A two-grid characteristic finite volume element method for semilinear advection-dominated diffusion equations
• Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering
• Exact Soliton Solutions to a Generalized Nonlinear Schrödinger Equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Bäcklund Transformation and Similarity Reductions of Nonlinear Partial Differential Equations Using Extended Homogeneous Balance Method
• Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
• A two-grid finite element method for nonlinear parabolic integro-differential equations
• A new approach to nonlinear partial differential equations
• The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

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