Drinfeld–Sokolov–Wilson equation

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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]

[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]

Notes

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