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Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
Journal of Mathematical Physics · 1968 · Vol. 9(8) · pp. 1204–1209
Robert M. Miura✉(Princeton University)Clifford S. Gardner(Princeton University)Martin D. Kruskal(Princeton University)
Abstract
With extensive use of the nonlinear transformations presented in Paper I of the series, a variety of conservation laws and constants of motion are derived for the Korteweg-de Vries and related equations. A striking connection with the Sturm-Liouville eigenvalue problem is exploited.
Nonlinear Waves and SolitonsNonlinear Photonic SystemsQuantum chaos and dynamical systemsConservation lawKorteweg–de Vries equationEigenvalues and eigenvectorsMathematicsNonlinear systemConnection (principal bundle)Motion (physics)Series (stratigraphy)Mathematical physicsVariety (cybernetics)
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References
Method for Solving the Korteweg-deVries Equation
Physical Review Letters · 1967 · 4,538 citations
<i>Theory of Ordinary Differential Equations</i>
Physics Today · 1956 · 6,231 citations
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