Results 41 to 50 of about 7,793,680 (284)
A bilinear approach to a Pfaffian self-dual Yang-Mills equation [PDF]
, 2001 By using the bilinear technique of soliton theory, a pfaffian version of the SU(2) self-dual Yang-Mills equation and its solution is ...
Gilson, C.R., Ohta, Y., Nimmo, J.J.C.
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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
doaj
Scalar soliton quantization with generic moduli [PDF]
, 2014 This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credArticle funded by SCOAP3. CP is
Papageorgakis, Constantinos +5 more
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Multi-soliton solution to the two-component Hunter-Saxton equation [PDF]
, 2015 In this paper, we study the bilinear form and the general N-soliton solution for a two-component Hunter-Saxton (2-HS) equation, which is the short wave limit of a twocomponent Camassa-Holm equation.
B. Feng, S. Lou, R. Yao
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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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Soliton Solutions for Quasilinear Schrödinger Equations [PDF]
Journal of Applied Mathematics, 2013 Summary: By using a change of variables, we get new equations, whose respective associated functionals are well defined in \(H^1(\mathbb R^N)\) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
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Frequency conversion based on three-wave parametric solitons [PDF]
, 2010 Parametric three-wave mixing in quadratic nonlinear crystals provides a versatile means of achieving widely tunable frequency conversion of laser light, thus permitting a substantial extension of the wavelength coverage of laser sources across broad ...
Degasperis, Antonio +17 more
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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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Neumann problem on the semi-line for the Burgers equation [PDF]
, 2011 In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time.
Sommacal, Matteo, de Lillo, Silvana
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New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod
, 2018 This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
A. Seadawy, J. Manafian
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