Results 11 to 20 of about 2,478 (193)
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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Asymptotic Solitons of the Johnson Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2000 We prove the existence of non-decaying real solutions of the Johnson equation, vanishing as $x\to+\infty$. We obtain asymptotic formulas as $t\to\infty$ for the solutions in the form of an infinite series of asymptotic solitons with curved lines of constant phase and varying amplitude and width.
Anders, Igor, Boutet de Monvel, Anne
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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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Partial Differential Equations in Applied Mathematics, 2022 The prime goal of this study is to investigate the soliton dynamics to the family of 3D fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations in the absence of self-phase modulation by employing the advanced exp−ϕψ-expansion method.
Abdulla - Al - Mamun +4 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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