Approximations to large amplitude solitary waves on nonlinear electrical lattices

DOI10.1016/0167-2789(96)00038-3zbMath0900.35391OpenAlexW2047717085MaRDI QIDQ1921001

A. K. Common, Anfrew C. Hicks, Mohamed I. Sobhy

Publication date: 6 August 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(96)00038-3

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items

Nonlinear Schamel-Korteweg de Vries equation for a modified Noguchi nonlinear electric transmission network: analytical circuit modeling ⋮ Ginzburg-Landau models of nonlinear electric transmission networks ⋮ Ginzburg-Landau system of complex modulation equations for distributed nonlinear dissipative transmission lines ⋮ Wave packet propagating in an electrical transmission line

Cites Work

• Unnamed Item
• Unnamed Item
• A review of multivariate Padé approximation theory
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Nonlinear coherent structures in physics and biology. Proceedings of the 7th interdisciplinary workshop, held at Dijon, France, 4-6 June, 1991
• Solitons on lattices
• Bright and dark lattice solitary waves in a discrete nonlinear system
• Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
• A solution of the initial value problem for half-infinite integrable lattice systems
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• Continued Fractions which Correspond to Power Series Expansions at Two Points
• On the Toda Lattice. II: Inverse-Scattering Solution
• Lattice solitary wave solutions of discrete nonlinear wave equations using a direct method