article Open AccessTop 10% cited

Evolution equations possessing infinitely many symmetries

Journal of Mathematical Physics · 1977 · Vol. 18(6) · pp. 1212–1215

Peter J. Olver✉(University of Chicago)

Abstract

A general method for finding evolution equations having infinitely many symmetries or flows which preserve them is described. This is applied to the Korteweg–de Vries, modified Korteweg–de Vries, Burgers’, and sine–Gordon equations.

Nonlinear Waves and Solitons Nonlinear Photonic Systems Quantum chaos and dynamical systemsHomogeneous spaceKorteweg–de Vries equationMathematical physicsMathematicsSineMathematical analysisPure mathematicsApplied mathematicsNonlinear systemPhysics

Citations

576

FWCI

7.24

field-weighted impact

References

Percentile

97%

vs. same field & year

Citations per year

References

Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

Journal of Mathematical Physics · 1968 · 988 citations

Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

Journal of Mathematical Physics · 1968 · 923 citations

Citation Network

How this paper connects to the literature. Drag to explore, click any node to open that paper.