The homogeneous balance of undetermined coefficients method and its application

DOI10.1515/MATH-2016-0078zbMath1365.35145OpenAlexW2546919172MaRDI QIDQ350320

Xiao-Feng Yang, Xin-Dang He, Yi Wei

Publication date: 7 December 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0078

zbMATH Keywords

KdV equationgeneralized Boussinesq equationbilinear equationEckhaus equationhomogeneous balance of undetermined coefficients method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

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• An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system
• A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
• Improving the differential transform method: a novel technique to obtain the differential transforms of nonlinearities by the Adomian polynomials
• The first-integral method applied to the Eckhaus equation
• Finding all real roots of a polynomial by matrix algebra and the Adomian decomposition method
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• New application of the \((G'/G)\)-expansion method
• Chaos control in the cerium-catalyzed Belousov-Zhabotinsky reaction using recurrence quantification analysis measures
• A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
• Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
• The variational iteration method for studying the Klein-Gordon equation
• Solutions of nonlinear P. D. E
• An approximate solution technique depending on an artificial parameter: A special example
• Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method
• The decomposition method for studying the Klein-Gordon equation
• Solving partial differential equations by two-dimensional differential transform method
• On generalized fractional kinetic equations involving generalized Bessel function of the first kind
• Analytical solution of space-time fractional Fokker-Planck equation by homotopy perturbation Sumudu transform method
• A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application
• Solitary wave solutions for variant Boussinesq equations
• Analytical approximate solutions for a general nonlinear resistor-nonlinear capacitor circuit model
• 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
• 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
• Statistically based inverse scattering from complex symmetric targets using severely aspect-limited high-frequency phase derivative data
• The evolution partial differential equation u t=u x x x+3(u x x u2 +3u2x u)+3u x u4
• n-Dimensional differential transformation method for solving PDEs

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