Results 31 to 40 of about 47,915 (224)
Effect of Phase Shift in Shape Changing Collision of Solitons in Coupled Nonlinear Schroedinger Equations [PDF]
, 2002 Soliton interactions in systems modelled by coupled nonlinear Schroedinger (CNLS) equations and encountered in phenomena such as wave propagation in optical fibers and photorefractive media possess unusual features : shape changing intensity ...
Kanna, T., Lakshmanan, M.
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Kuwait Journal of Science, 2022 In this article, a newly introduced model nonlinear Kudryashov's equation with anti-cubic non-linearity is considered for extraction of soliton solutions.
Saima Arshed +3 more
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$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schr\"odinger Equation [PDF]
, 2017 In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method.
Feng, Bao-Feng, Ohta, Yasuhiro
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Solitone solutions complexifications of the Korteweg - de Vriz equation
Наука. Инновации. Технологии, 2022 The Hirota method for construction of soliton solutions is applied to the complexification of the Korteweg-de Vries equation. To use the method, the complex equation is replaced by a system of two third-order equations into two real functions, which ...
Tatyana Valentinovna Redkina
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Mathematics, 2022 In this paper, a generalized nonlinear Schrödinger (gNLS) equation with time-varying coefficients is analytically studied using its Lax representation and the associated Riemann-Hilbert (RH) problem equipped with a symmetric scattering matrix in the ...
Bo Xu, Sheng Zhang
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Suppression and Enhancement of Soliton Switching During Interaction in Periodically Twisted Birefringent Fiber [PDF]
, 1999 Soliton interaction in periodically twisted birefringent optical fibers has been analysed analytically with refernce to soliton switching. For this purpose we construct the exact general two-soliton solution of the associated coupled system and ...
A. B. Aceves +19 more
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Duke Mathematical Journal, 1992 The authors consider the \(N\)-soliton solution to the Korteweg-de Vries equation in the limit \(N \to \infty\) by careful investigation of the spectral and scattering properties of the Schrödinger operator associated to the KdV equation by the inverse scattering transform.
Gesztesy, F., Karwowski, W., Zhao, Z.
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The explicit solution and its soliton molecules in the (2+1)-dimensional pKP–BKP equation
Results in Physics, 2022 One N-soliton solution of the (2+1)-dimensional combined potential Kadomtsev–Petviashvili (pKP) with B-type Kadomtsev–Petviashvili (BKP) equation, which involves the soliton molecules, is constructed with the aid of its Hirota bilinear form.
Zheng-Yi Ma +3 more
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A note on loop-soliton solutions of the short-pulse equation [PDF]
, 2010 It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition.
Parkes, E.J.
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Brane inflation, solitons and cosmological solutions: I [PDF]
Journal of High Energy Physics, 2005 Harvmac, 115 pages, 9 .eps figures; v2: typos corrected, references added and the last section expanded; v3: Few minor typos corrected and references added.
Chen, Pisin +4 more
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