The calculation of novel class of solutions of a non-linear fourth order evolution equation by the Weierstraß transform method

DOI10.1016/j.amc.2008.01.015zbMath1149.35304OpenAlexW1988762222WikidataQ115463180 ScholiaQ115463180MaRDI QIDQ945302

Alfred Huber

Publication date: 12 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.015

zbMATH Keywords

evolution equationsnonlinear partial differential equationsexact class of solutionsWeierstraß elliptic functionsWeierstraß transform method

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05)

Related Items (4)

A generalized exponential transform method for solving non-linear evolution equations of physical relevance ⋮ On non-linear evolution equations of higher order - the introduction and application of a novel computational approach ⋮ New exact solutions and modulation instability for the nonlinear \((2+1)\)-dimensional Davey-Stewartson system of equation ⋮ New exact solutions of the Davey-Stewartson equation with power-law nonlinearity

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