Concepedia

Seven common errors in finding exact solutions of nonlinear differential equations

Nikolay A. Kudryashov

Communications in Nonlinear Science and Numerical Simulation · 2009 · 271 citations · 69 references

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References

69

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

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XLI. <i>On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves</i>

D. J. Korteweg, G. de Vries · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1895 · 4.1K citations

, , +5

Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

Norman J. Zabusky, Martin D. Kruskal · Physical Review Letters · 1965 · 4.1K citations

, , +12

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Studies in Applied Mathematics · 1974 · 3.2K citations

, , +17

Integrals of nonlinear equations of evolution and solitary waves

Peter D. Lax · Communications on Pure and Applied Mathematics · 1968 · 3.1K citations

, , +14