Results 31 to 40 of about 3,422,090 (230)
Kink soliton behavior study for systems with power-law nonlinearity
Results in Physics, 2022 In this study, we investigate the kink soliton dynamics for power-law nonlinear systems. Based on the F-expansion method, we first derive the novel kink soliton solution of the nonlinear Schrödinger equation (NLSE) with third-order dispersion term, power-
Xiaoning Liu +4 more
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1D solitons in cubic-quintic fractional nonlinear Schrödinger model
Scientific Reports, 2022 We examine the properties of a soliton solution of the fractional Schrö dinger equation with cubic-quintic nonlinearity. Using analytical (variational) and numerical arguments, we have shown that the substitution of the ordinary Laplacian in the ...
V. A. Stephanovich +3 more
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Soliton solutions for Q3 [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 11 ...
Atkinson, James +2 more
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Two-peak soliton in the CKP hierarchy [PDF]
, 2006 We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP ...
Cheng, Yi +2 more
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Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation
Advances in Mathematical Physics, 2023 The N-soliton solution of the (2+1)-dimensional Sawada-Kotera equation is given by using the Hirota bilinear method, and then, the conjugate parameter method and the long-wave limit method are used to get the breather solution and the lump solution, as ...
Yong Meng
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Solitonic solutions and gravitational solitons: an overview
, 2021 In this work we intend to discuss the solitonic solutions of Einstein's field equations in vacuum by constructing the solution to N solitons and studying some aspects of it. In conclusion, it will be shown how the Kerr black hole can be interpreted as a soliton solution in the case of axial symmetry.
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Lump and Interaction solutions of a geophysical Korteweg–de Vries equation
Results in Physics, 2020 This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi +5 more
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Scientific Reports, 2022 The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obtain the N ...
Lu Wang, Li Li, Fajun Yu
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Soliton equations exhibiting Pfaffian solutions [PDF]
Glasgow Mathematical Journal, 2001 Soliton equations whose solutions are expressed by Pfaffians are briefly discussed. Included are a discrete-time Toda equation of BKP type, a modified Toda equation of BKP type, a coupled modified KdV equation and a coupled modified KdV equation of derivative type.
Hirota, Ryogo +2 more
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Soliton dynamics for quantum systems with higher-order dispersion and nonlinear interaction
AIP Advances, 2020 We investigated three-dimensional quantum systems with higher-order dispersion and nonlinear effects. The systems’ soliton dynamics is studied based on the (3+1)-dimensional higher-order nonlinear Schrödinger equation (NLSE).
Chen Chen +5 more
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