Unidirectional wave propagation in one-dimensional first-order Hamiltonian systems
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Publication:3903427
DOI10.1063/1.524651zbMath0455.35108OpenAlexW2072501052MaRDI QIDQ3903427
Publication date: 1980
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.524651
energy densityBenjamin-Bona-Mahony equationfirst order Hamiltonian systemsunidirectional wave propagationvelocity of a conserved densityweighted group velocity
Hamilton's equations (70H05) Partial differential equations of mathematical physics and other areas of application (35Q99)
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Cites Work
- Plane waves in linear homogeneous media. II
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- On the hamiltonian theory of surface waves
- Stable model equations for long water waves
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Integrals of nonlinear equations of evolution and solitary waves
- Model equations for long waves in nonlinear dispersive systems
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