Drinfeld–Sokolov–Wilson equation

The Drinfeld–Sokolov–Wilson equation, or DSW equations, is a system of two coupled nonlinear partial differential equations proposed by Drinfeld and Vladimir Sokolov, and independently by George Wilson:^[1]^[2]

{\begin{aligned}&{\frac {\partial u}{\partial t}}+3v{\frac {\partial v}{\partial x}}=0\\&{\frac {\partial v}{\partial t}}=2{\frac {\partial ^{3}v}{\partial x^{3}}}+{\frac {\partial u}{\partial x}}v+2u{\frac {\partial v}{\partial x}}\end{aligned}}

Notes

↑ Esmaeil Alibeiki and Ahmad Neyrameh (2011). "Application of Homotopy Perturbation Method to Nonlinear Drinfeld–Sokolov–Wilson Equation" (PDF). Middle-East Journal of Scientific Research. 10 (4): 440–443.
↑ Weisstein, Eric W. "Drinfeld–Sokolov–Wilson Equation". MathWorld.

References

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

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