Conservation laws for a class of systems of nonlinear evolution equations

DOI10.1007/BF01082377zbMath0523.35088MaRDI QIDQ584629

V. K. Mel'nikov

Publication date: 1981

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

conservation lawsnonlinear evolution equationsLax's formalism

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Partial differential equations of mathematical physics and other areas of application (35Q99) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items

On equations for wave interactions, On equations solvable by the inverse scattering method for the Dirac operator

Cites Work

• On foundations of the theory of elastic media with microstructure
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Nonlinear-Evolution Equations of Physical Significance
• Method for Solving the Korteweg-deVries Equation
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• Integrals of nonlinear equations of evolution and solitary waves
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