Dynamics of solitons in a damped sine-Hilbert equation

DOI10.1063/1.529544zbMath0764.35092OpenAlexW1979017123MaRDI QIDQ4032267

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Publication date: 1 April 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529544

zbMATH Keywords

long-time behavior\(N\)-soliton solutioninteraction of the two solitons

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (1)

Pulse formation in a dissipative nonlinear system

Cites Work

• Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem
• Kinks of the sine-Hilbert equation and their dynamical motions
• On the initial value problem for a class of nonlinear integral evolution equations including the sine–Hilbert equation
• Linearization of novel nonlinear diffusion equations with the Hilbert kernel and their exact solutions
• Two-dimensional dynamical system associated with Abel’s nonlinear differential equation

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