Korteweg‐devries equation and generalizations. VI. methods for exact solution

References

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	Year	Citations
Method for Solving the Korteweg-deVries Equation Clifford S. Gardner, J. M. Greene, Martin D. Kruskal, Physical Review Letters Numerical AnalysisSolitary WavesNonlinear Wave PropagationInitial DataTopological Soliton	1967	4.5K
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States Norman J. Zabusky, Martin D. Kruskal Physical Review Letters Collisionless PlasmaExperimental Nuclear PhysicsHistory Of SciencePhysicsInitial States	1965	4K
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 Ocean Wave MechanicsLong WavesLong Stationary WavesHistory Of ScienceEngineering	1895	4K
Integrals of nonlinear equations of evolution and solitary waves Peter D. Lax Communications on Pure and Applied Mathematics Spectral TheoryNonlinear Equations EvolutionsNonlinear Wave PropagationNonlinear EquationsNonlinear Equation	1968	3K
Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons Ryogo Hirota Physical Review Letters PhysicsNonlinear Wave PropagationTopological SolitonExact SolutionN Solitons	1971	3K
Quantum Mechanics (Non-Relativistic Theory) Lewis Elton Physics Bulletin Quantum ScienceEngineeringPhysicsCosmologyConsiderable Excitement	1958	2.3K
The partial differential equation u<sub>t</sub> + uu<sub>x</sub> = μ<sub>xx</sub> Eberhard Hopf Communications on Pure and Applied Mathematics Geometric Partial Differential EquationParabolic Equation	1950	1.9K
On a quasi-linear parabolic equation occurring in aerodynamics Julian D. Cole Quarterly of Applied Mathematics EngineeringAerospace EngineeringQuasi-linear Parabolic EquationParabolic EquationAerodynamics	1951	1.7K
Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion Robert M. Miura, Clifford S. Gardner, Martin D. Kruskal Journal of Mathematical Physics Korteweg-de Vries EquationHyperbolic Conservation LawNonlinear TransformationsConservation LawsOscillation Theory	1968	980
Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation Robert M. Miura Journal of Mathematical Physics Similar Nonlinear EquationKorteweg-de Vries EquationBacklund TransformationExplicit Nonlinear TransformationNonlinear Equation	1968	919

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