A systematic method to construct polynomials possessing linear superposition principle and dispersion relation

DOI10.1016/J.AMC.2011.09.040zbMath1387.35085OpenAlexW2038908038MaRDI QIDQ426447

Wei Li, Fei Wang, Hong-Qing Zhang

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.040

zbMATH Keywords

dispersion relationHirota bilinear equationslinear superposition principleN-wave solution

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)

Cites Work

• Linear superposition principle applying to Hirota bilinear equations
• Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
• A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system
• Complexiton solutions to the Korteweg-de Vries equation
• Extended tanh-function method and its applications to nonlinear equations
• A multiple exp-function method for nonlinear differential equations and its application
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Exact Solutions of the Coupled KdV System via a Formally Variable Separation Approach
• The inverse scattering transform: Semi-infinite interval
• Supersymmetric modified Korteweg–de Vries equation: bilinear approach
• Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics
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