Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations

DOI10.1186/s13660-017-1587-5zbMath1379.35277OpenAlexW2779377105WikidataQ47103433 ScholiaQ47103433MaRDI QIDQ1688517

Yongyi Gu, Jian-Ming Qi

Publication date: 8 January 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1587-5

zbMATH Keywords

symmetryexact solutionsnonlinear evolution equationsmeromorphic functioncomplex method\(\exp(-\phi(z))\)-expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (7)

Analytical solutions to the Caudrey-Dodd-Gibbon-Sawada-Kotera equation via symbol calculation approach ⋮ Further results about traveling wave exact solutions of the \((2+1)\)-dimensional modified KdV equation ⋮ Painlevé analysis and abundant meromorphic solutions of a class of nonlinear algebraic differential equations ⋮ Meromorphic exact solutions of the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation ⋮ On the exact solutions of two \((3+1)\)-dimensional nonlinear differential equations ⋮ Searching for analytical solutions of the \((2+1)\)-dimensional KP equation by two different systematic methods ⋮ Applications of two methods in exact wave solutions in the space-time fractional Drinfeld-Sokolov-Wilson system

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