Results 31 to 40 of about 2,764,787 (227)
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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Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation
Mathematics, 2023 This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
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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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Optical Solutions of Schrödinger Equation Using Extended Sinh–Gordon Equation Expansion Method
Frontiers in Physics, 2020 In this paper, we investigated the non-linear Schrödinger equation (NLS) to extract optical soliton solutions by implementing the extended Sinh–Gordon equation expansion method (ShGEEM).
Amna Irshad +6 more
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Fractal and Fractional, 2023 This research uses a novel analytical method known as the modified Extended Direct Algebraic Method (mEDAM) to explore families of soliton solutions for the complex structured Coupled Fractional Biswas–Arshed Model (CFBAM) in Birefringent Fibers.
Humaira Yasmin +3 more
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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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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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Novel soliton solutions and localized structures of KdV equation
Results in Physics, 2023 A (1 + 1)-dimensional Korteweg-de Vries (KdV) equation is studied. Using the extended Tanh-function method, the analytical soliton solutions are obtained by symbolic calculation, and the localized coherent structures containing the compacton, the peakon,
Shaofu Wang
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Comments on whether nonlinear fractional partial differential equations have soliton solutions
Partial Differential Equations in Applied Mathematics, 2022 It is well known that many nonlinear integer-order partial differential equations (PDEs) have soliton solutions, this is an indisputable fact in the field of soliton theory.
Weiguo Rui
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