Drinfeld–Sokolov–Wilson equation

The Drinfeld–Sokolov–Wilson (DSW) equations are an integrable system of two coupled nonlinear partial differential equations proposed by Vladimir Drinfeld and Vladimir Sokolov, and independently by George Wilson:[1][2]

${\displaystyle {\begin{aligned}&{\frac {\partial u}{\partial t}}+3v{\frac {\partial v}{\partial x}}=0\\[5pt]&{\frac {\partial v}{\partial t}}=2{\frac {\partial ^{3}v}{\partial x^{3}}}+{\frac {\partial u}{\partial x}}v+2u{\frac {\partial v}{\partial x}}\end{aligned}}}$

Notes

1. 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.
2. Weisstein, Eric W. "Drinfeld–Sokolov–Wilson Equation". MathWorld.

References

• Graham W. Griffiths, William E. Shiesser Traveling Wave Analysis of Partial Differential Equations, p. 135 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 Equations, 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