Dodd-Bullough-Mikhailov equation is a nonlinear partial differential equation introduced by Roger Dodd, Robin Bullough, and Alexander Mikhailov[1]。
Analytic solution
Perform transformation:
to transform Dodd-Bullough-Mikhailov equation into
obtain the traveling wave solutions of v(x,t):
Then apply the inverse transform
to get the traveling wave solutions of Dodd-Bullough-Mikhailov equation:
Traveling wave plot
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Reference
- ^ 李志斌编著 《非线性数学物理方程的行波解》 第105-107页,科学出版社 2008(Chinese)
- Graham W. Griffiths William E.Shiesser Traveling Wave Analysis of Partial Differential p135 Equations Academy Press
- Richard H. Enns George C. McCGuire, Nonlinear Physics Birkhauser,1997
- Inna Shingareva, Carlos Lizárraga-Celaya,Solving Nonlinear Partial Differential Equations with Maple Springer.
- Eryk Infeld and George Rowlands,Nonlinear Waves,Solitons and Chaos,Cambridge 2000
- Saber Elaydi,An Introduction to Difference Equationns, Springer 2000
- Dongming Wang, Elimination Practice,Imperial College Press 2004
- David Betounes, Partial Differential Equations for Computational Science: With Maple and Vector Analysis Springer, 1998 ISBN 9780387983004
- George Articolo Partial Differential Equations & Boundary Value Problems with Maple V Academic Press 1998 ISBN 9780120644759