Nonlinear summation of power series and exact solutions of evolution equations

DOI10.3103/S1066369X1801005XzbMath1387.35098OpenAlexW2792060894WikidataQ130149719 ScholiaQ130149719MaRDI QIDQ1746437

A. I. Zemlyanukhin, Andrey V. Bochkarev

Publication date: 25 April 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x1801005x

zbMATH Keywords

perturbation methodnonlinear evolution equationswave frontexact solitary wave solutionsquadratic and cubic summationwave impulse

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Soliton solutions (35C08)

Related Items (3)

ON THE SOLUTION OF ALGEBRAIC EQUATIONS OF SMALL DEGREES BY SQUARE RADICALS ⋮ Pythagorean harmonic summability of Fourier series ⋮ Existence and uniqueness of a non-negative monotonic solution of a nonlinear ordinary differential equation

Cites Work

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• Exact solitary waves of the Fisher equation
• Certain examples of quadratic summation of power series
• Exact Solitary-wave Solutions of the Burgers – Huxley and Bradley – Harper Equations

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