Results 31 to 40 of about 117,386 (210)
Physical Review D, 2020 We present the saddle-point approximation for the effective Hamiltonian of the quantum kink in two-dimensional linear sigma models to all orders in the time-derivative expansion. We show how the effective Hamiltonian can be used to obtain semiclassical soliton form factors, valid at momentum transfers of order the soliton mass.
Ilarion V. Melnikov +2 more
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Alexandria Engineering Journal, 2022 In this paper, the modified simple equation method and the extended simplest equation method are applied to secure optical solitons and other solutions for Radhakrishnan-Kundu Lakshmanan equation.
H.A. Eldidamony +4 more
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Phase-driven interaction of widely separated nonlinear Schr\"odinger solitons
, 2011 We show that, for the 1d cubic NLS equation, widely separated equal amplitude in-phase solitons attract and opposite-phase solitons repel. Our result gives an exact description of the evolution of the two solitons valid until the solitons have moved a ...
Holmer J. +4 more
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Bright-dark solitons and their collisions in mixed N-coupled nonlinear Schr\"odinger equations [PDF]
, 2007 Mixed type (bright-dark) soliton solutions of the integrable N-coupled nonlinear Schr{\"o}dinger (CNLS) equations with mixed signs of focusing and defocusing type nonlinearity coefficients are obtained by using Hirota's bilinearization method. Generally,
M. Lakshmanan +7 more
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Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
Scientific Reports, 2021 We investigate the roles of symmetry and bulk-boundary correspondence in characterizing topological edge states in generalized Jackiw–Rebbi (JR) models.
Chang-geun Oh +2 more
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Nonlocal two-color vector dark solitons
Results in Physics, 2023 In this paper, vector dark solitons with two colors are demonstrated in nonlocal nonlinear Kerr medium. Using Lagrangian method and rectangular profile of nonlocal response of the media, solutions of the solitons are obtained analytically.
Liang Wu +3 more
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Solitons supported by complex PT symmetric Gaussian potentials
, 2011 The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time symmetric Gaussian complex potentials are reported.
Hu, Sumei +5 more
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Results in Physics, 2022 In this article, the improved modified extended tanh-function method is used to construct new structure of highly dispersive optical solitons for nonlinear Schrödinger equation in birefringent fibers with Kerr law and non-local law of refractive index ...
Hanaa A. Eldidamony +4 more
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A Potential of Incoherent Attraction Between Multidimensional Solitons
, 1998 We obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by cross-phase ...
Afanasjev +21 more
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Rigidity of asymptotically conical shrinking gradient Ricci solitons [PDF]
, 2013 We show that if two gradient Ricci solitons are asymptotic along some end of each to the same regular cone, then the soliton metrics must be isometric on some neighborhoods of infinity of these ends. Our theorem imposes no restrictions on the behavior of
Brett Kotschwar +2 more
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