Results 31 to 40 of about 14,785 (196)
Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation [PDF]
Physical Review E, 1996 Soliton solutions of the one-dimensional (1D) complex Ginzburg-Landau equations (CGLE) are analyzed. We have developed a simple approach that applies equally to both the cubic and the quintic CGLE. This approach allows us to find an extensive list of soliton solutions of the CGLE, and to express all these solutions explicitly. In this way, we were able
Akhmediev, N. +2 more
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Bright, dark, and singular optical soliton solutions for perturbed Gerdjikov-Ivanov equation
Thermal Science, 2021 This study consider Gerdjikov-Ivanov equation where the perturbation terms appear with full non-linearity. The Jacobi elliptic function ansatz method is implemented to obtain exact solutions of this equation that models pulse dynamics in optical fibers.
Esma Ulutas +3 more
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Abstract and Applied Analysis, 2013 We study a generalized KdV equation of neglecting the highest order infinitesimal term, which is an important water wave model. Some exact traveling wave solutions such as singular solitary wave solutions, semiloop soliton solutions, dark soliton ...
Xianbin Wu, Weiguo Rui, Xiaochun Hong
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Frontiers in Physics, 2019 In this paper, we use the modified exponential function method in terms of Kf(x) instead of ef(x)and the extended sinh-Gordon method to find some new family solution of the M-fractional paraxial non-linear Schrödinger equation. The novel complex and real
Wei Gao +5 more
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Classical backgrounds and scattering for affine Toda theory on a half-line [PDF]
, 1996 We find classical solutions to the simply-laced affine Toda equations which satisfy integrable boundary conditions using solitons which are analytically continued from imaginary coupling theories.
Bowcock, P.
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Frontiers in Physics, 2021 This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled ...
Nauman Raza +5 more
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On the Dynamics of solitons in the nonlinear Schroedinger equation
, 2011 We study the behavior of the soliton solutions of the equation i((\partial{\psi})/(\partialt))=-(1/(2m)){\Delta}{\psi}+(1/2)W_{{\epsilon}}'({\psi})+V(x){\psi} where W_{{\epsilon}}' is a suitable nonlinear term which is singular for {\epsilon}=0.
A. Selvitella +34 more
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Darboux transformations for a Bogoyavlenskii equation in 2+1 dimensions
, 1999 We use the singular manifold method to obtain the Lax pair, Darboux transformations and soliton solutions for a (2+1) dimensional integrable equation.Comment: 7 pages, latex, to appear in the proceedings of the meeting "Nonlinearity and Integrability" (
Estevez, P. G., Hernaez, G. A.
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Non-unitarity in quantum affine Toda theory and perturbed conformal field theory [PDF]
, 1998 There has been some debate about the validity of quantum affine Toda field theory at imaginary coupling, owing to the non-unitarity of the action, and consequently of its usefulness as a model of perturbed conformal field theory.
Alcaraz +51 more
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Space-time non-commutativity tends to create bound states
, 2003 We study the spectrum of fluctuations about static solutions in 1+1 dimensional non-commutative scalar field models. In the case of soliton solutions non-commutativity leads to creation of new bound states.
Artyom Yurov +13 more
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