Long-wave equation with free boundaries. I. Conservation laws and solution

From MaRDI portal
Publication:1132299

DOI10.1007/BF01079464zbMath0419.35075MaRDI QIDQ1132299

Yuri I. Manin, Boris A. Kupershmidt

Publication date: 1978

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




Related Items (21)

On symmetry group properties and general similarity forms of the Benney equations in the Lagrangian variablesCoupled KdV equations with multi-Hamiltonian structuresIntegrability properties of the dispersionless Kadomtsev-Petviashvili hierarchyLie group analysis of gravity currentsIn search of periodic solutions for a reduction of the Benney chainOn analytical solutions of a two-phase mass flow modelHolomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev-Petviashvili equationOn the kinetic equations of a system of one-dimensional hard rodsClassification of integrable Vlasov-type equationsDeformed cohomologies of symmetry pseudo-groups and coverings of differential equationsLie-Poisson structures, dual-spin spacecraft and asymptotic stabilityLöwner evolution and finite-dimensional reductions of integrable systemsOn the waterbag continuumIntegrable \((2+1)\)-dimensional systems of hydrodynamic typeAn effective algorithm for finding multidimensional conservation laws for integrable systems of hydrodynamic typeInvariant solutions to the Khokhlov-Zabolotskaya singular manifold equation and their applicationA supersymmetric integrable system for arbitrary \(N\)The Gibbons–Tsarev equation: symmetries, invariant solutions, and applicationsLong wave equations and metrizable Lie algebrasHelicity invariants in 3D: Kinematical aspectsHydrodynamic type integrable equations on a segment and a half-line



Cites Work


This page was built for publication: Long-wave equation with free boundaries. I. Conservation laws and solution