scientific article; zbMATH DE number 750172

zbMath0847.58028MaRDI QIDQ4764195

E. M. de Jager, Embrecht W. C. Van Groesen

Publication date: 2 May 1995

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zbMATH Keywords

stabilityrelative equilibriasolitonsHamiltonian systemsKdV equationfluid mechanicssurface wavesPoisson systemsinviscid fluidsevolutionary partial differential equationsdissipative perturbations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stochastic analysis applied to problems in fluid mechanics (76M35) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01)

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