New exact kink solutions, solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation

DOI10.1016/j.amc.2009.09.031zbMath1180.35464OpenAlexW2139985761MaRDI QIDQ1049296

Zi-Tian Li

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.031

zbMATH Keywords

periodic solutionsKdV equationsolitonSchwarzian KdV equationkinkRiccati mapping method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

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Cites Work

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• The generalizing Riccati equation mapping method in non-linear evolution equation: Application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation
• Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation
• The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations
• Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field

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