Conservation Laws for the Fully Nonlinear Long Wave Equations

DOI10.1002/sapm197453145zbMath0306.76020OpenAlexW163157427MaRDI QIDQ4062818

Robert M. Miura

Publication date: 1974

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm197453145

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (10)

Conservation laws associated with long surface waves ⋮ Algebraic aspects of nonlinear differential equations ⋮ Benney equations and quasiclassical approximation in the method of the inverse problem ⋮ Variational principle for equations integrable by the inverse problem method ⋮ Exact Simple Waves on Shear Flows in a Compressible Barotropic Medium ⋮ Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor ⋮ Interaction and Dispersion of Long Waves ⋮ On the continuous Benney equations ⋮ On the Benney equations ⋮ Collisionless Boltzmann equations and integrable moment equations

Cites Work

• Nonlinear-Evolution Equations of Physical Significance
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

This page was built for publication: Conservation Laws for the Fully Nonlinear Long Wave Equations