Results 21 to 30 of about 49,111 (193)
Journal of Taibah University for Science, 2023 Nonlinear features are revealed by one of the most competent and powerful approaches, i.e. soliton theory. The present article starts with the dust collisionless magnetized plasma where electrons are following double spectral [Formula: see text ...
Uday Narayan Ghosh
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Journal of Ocean Engineering and Science, 2023 Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar +2 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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Results in Physics, 2023 This study focuses on investigating the optical soliton solutions for the perturbed nonlinear Schrödinger equation involving Kerr nonlinearity. It should be noted that the non-integrable nature of the nonlinear Schrödinger equation becomes apparent when ...
Chaoyang Zhu +3 more
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Painlevé Test and Exact Solutions for (1 + 1)-Dimensional Generalized Broer–Kaup Equations
Mathematics, 2022 In this paper, the Painlevé integrable property of the (1 + 1)-dimensional generalized Broer–Kaup (gBK) equations is first proven. Then, the Bäcklund transformations for the gBK equations are derived by using the Painlevé truncation.
Sheng Zhang, Bo Xu
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Solitons in the noisy Burgers equation [PDF]
Physical Review E, 2002 11 pages Revtex file, including 15 postscript ...
Fogedby, Hans, Brandenburg, A.
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Bright and Dark Soliton Solutions of the (2 + 1)-Dimensional Evolution Equations
Mathematical Modelling and Analysis, 2014 In this paper, we obtained the 1-soliton solutions of the (2+1)-dimensional Boussinesq equation and the Camassa–Holm–KP equation. By using a solitary wave ansatz in the form of sechp function, we obtain exact bright soliton solutions and another wave ...
Ahmet Bekir +3 more
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Higher-order Kerr nonlinear and dispersion effects on fiber optics
Results in Physics, 2021 In new communication optical fiber enforcements, the nonlinear Schrödinger equations (NLSEs) have honorable description for soliton transmission characteristics.
H.G. Abdelwahed +3 more
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Constructing N-soliton solution for the mKdV equation through constrained flows [PDF]
, 2001 Based on the factorization of soliton equations into two commuting integrable x- and t-constrained flows, we derive N-soliton solutions for mKdV equation via its x- and t-constrained flows.
Ablowitz M +14 more
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Heliyon, 2023 In this paper, the (2+1)-dimensional generalized fifth-order KdV equation and the extended (3+1)-dimensional Jimbo-Miwa equation were transformed into the Hirota bilinear forms with Hirota direct method.
Baoyong Guo, Yong Fang, Huanhe Dong
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