Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations

We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are made for solving both the nonlinear equation a...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2019, Vol.2019 (2019), p.1-6
Main Authors: Chen, Shou-Ting, Ma, Wen-Xiu
Format: Article
Language:English
Subjects:
Applied mathematics
Computer algebra
Fourier transforms
Nonlinear equations
Ordinary differential equations
Partial differential equations
Physics
Polynomials
Symmetry
Traveling waves
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Summary:We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are made for solving both the nonlinear equation and the corresponding bilinear equation. A few classes of exact and explicit solutions are generated from different ansätze on solution forms, including traveling wave solutions, two-wave solutions, and polynomial solutions.
ISSN:1076-2787
1099-0526
DOI:10.1155/2019/8787460