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]

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

References

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.

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