Results 151 to 160 of about 2,039 (189)

Soliton–soliton interaction with dual-power law nonlinearity

Applied Mathematics and Computation, 2008
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SOLITON–SOLITON INTERACTION IN OPTICAL FIBERS

Journal of Nonlinear Optical Physics & Materials, 1999
In an optical communication system it is necessary to place the solitons close to one another to increase the information carrying capacity of the fiber. The theory of soliton–soliton interaction in a fiber optic communication system, through a single channel, is studied in this paper. In presence of the perturbation terms, the two soliton interaction
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Stieltjes Series and Soliton Interaction

Circuits, Systems, and Signal Processing, 1982
The KdV and MkdV multisoliton solutions are found to be generated by rational Stieltjes functions of the non-linearity parameter, each pole of which can be associated with a soliton. The well-known asymptotic emergence of the separate solitons follows at once from the motion of the poles. Successive (n−l/n) Pade approximants to the N-soliton series are
Lambert, F. J., Musette, M.
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Chaos Caused by the Soliton-Soliton Interaction

Journal of the Physical Society of Japan, 1983
Chaotic behavior is found to be generated through the interaction of nonlinear excitations in the non-integrable systems with infinite degrees of freedom. The perturbed sine-Gordon equation is investigated by using the numerical simulation, which shows that the chaos is caused by soliton-soliton collisions.
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Resonant soliton-impurity interactions

Physical Review Letters, 1991
We describe a new type of soliton-impurity interaction and demonstrate that the soliton can be totally reflected by an attractive impurity if its initial velocity lies in certain resonance ``windows.'' This effect has an analogy with the resonance phenomena in kink-antikink collisions [Campbell, Schonfeld, and Wingate, Physica (Amsterdam) 9D, 1 (1983)],
, Kivshar, , Fei, , Vázquez
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INELASTIC INTERACTION OF BOUSSINESQ SOLITONS

International Journal of Bifurcation and Chaos, 1994
Two improved versions of Boussinesq equation (Boussinesq paradigm) have been considered which are well-posed (correct in the sense of Hadamard) as an initial value problem: the Proper Boussinesq Equation (PBE) and the Regularized Long Wave Equation (RLWE). Fully implicit difference schemes have been developed strictly representing, on difference level,
Christov, C. I., Velarde, M. G.
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Billiard-ball soliton interaction gates

Optics Letters, 1991
We demonstrate a temporal conservative-logic interaction gate that can perform AND, inversion, and routing functions. The billiard balllike logic is based on elastic collisions between temporal solitons in optical fibers, and our cascadable logic gate has two temporally separated, identical frequency, input pulses that are combined using beam splitters.
M N, Islam, C E, Soccolich
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Soliton-Soliton Interaction with Kerr Law Nonlinearity

Journal of Electromagnetic Waves and Applications, 2005
The intra-channel collision of optical solitons, with Kerr law nonlinearity, is studied in this paper by the aid of quasi-particle theory. The perturbation terms that are considered in this paper are all of Hamiltonian type. The suppression of soliton-soliton interaction, in presence of these perturbation terms, is acheived.
S. Konar, A. Biswas
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Soliton Interaction and Soliton Lattice in Poyace Tyklene

Molecular Crystals and Liquid Crystals, 1981
Abstract We report here an analysis of the electronic properties of a periodic lattice of solitons in infinite chains of polyacetylene. The method used is a Green's function recursive mjethod which allows an exact determination of the density of states of the system.
J. P. Albert, C. Jouanin
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Soliton-soliton Interaction with Parabolic Law Nonlinearity

Journal of Electromagnetic Waves and Applications, 2006
The intra-channel collision of optical solitons, with parabolic law non-linearity, is studied in this paper by the aid of quasi-particle theory. The perturbation terms that are considered in this paper are of Hamiltonian type. The suppression of soliton-soliton interaction, in presence of these perturbation terms, is achieved. The numerical simulations
A. Biswas, S. Konar, E. Zerrad
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