Concepedia

Exact solutions of nonlinear PDE, nonlinear transformations and reduction of nonlinear PDE to a quadrature

Lei Yang, Jianbin Liu, Kongqing Yang

Physics Letters A · 2001 · 124 citations · 10 references

DOI

Concepts

References

10

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

, , +17

The Painlevé property for partial differential equations

John Weiss, M. Tabor, G. F. Carnevale · Journal of Mathematical Physics · 1983 · 2.1K citations

, , +15

Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics

Mingliang Wang, Yubin Zhou, Zhibin Li · Physics Letters A · 1996 · 984 citations · Full text

, , +11

Exact <i>N</i>-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

Ryogo Hirota · Journal of Mathematical Physics · 1973 · 488 citations

, , +13

Exact solutions for two nonlinear equations. I

Lan Huibin, Wang Kelin · Journal of Physics A Mathematical and General · 1990 · 127 citations

, , +4