The Painlevé formulations and exact solutions of the nonlinear evolution equations for modulated gravity wave trains
DOI10.1063/1.530814zbMath0818.35114OpenAlexW2032566212MaRDI QIDQ4327207
Bhimsen K. Shivamoggi, David K. Rollins
Publication date: 5 April 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://stars.library.ucf.edu/facultybib1990/1177
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Cites Work
- On the evolution of packets of water waves
- The Painlevé property for partial differential equations
- On the infinite-dimensional symmetry group of the Davey–Stewartson equations
- Recurrent motions in certain continuum dynamical systems
- On the evolution of packets of long surface waves
- On two-dimensional packets of capillary-gravity waves
- On the soliton solutions of the Davey-Stewartson equation for long waves
- The role of negative energy waves in some instabilities of parallel flows
- On three-dimensional packets of surface waves
- Wave Instabilities
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