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:

[math]\displaystyle{ \begin{align} &\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{align} }[/math]

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