Results 31 to 40 of about 39,926 (178)
Global well-posedness of the short-pulse and sine-Gordon equations in energy space
, 2010 We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Sch\"afer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon ...
Ablowitz M.J. +5 more
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MULTISCALE EXPANSION OF THE LATTICE SINE–GORDON EQUATION [PDF]
Difference Equations, Special Functions and Orthogonal Polynomials, 2007 We expand a discrete--time lattice sine--Gordon equation on multiple lattices and obtain the partial difference equation which governs its far field behaviour. Such reduction allow us to obtain a new completely discrete nonlinear Schr edinger (NLS) type equation.
JI X. D, LEVI, Decio, PETRERA M.
openaire +3 more sources
On integrability aspects of the supersymmetric sine-Gordon equation
, 2017 In this paper we study certain integrability properties of the supersymmetric sine-Gordon equation. We construct Lax pairs with their zero-curvature representations which are equivalent to the supersymmetric sine-Gordon equation.
Bertrand, Sébastien
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Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit
, 2018 We propose the use of a waveguide-like transmission line based on direct-current superconducting quantum interference devices (dc-SQUID) and study the sine-Gordon (SG) equation which characterises the dynamical behavior of the superconducting phase in ...
Du, Jiangfeng, Tian, Zehua
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Results in Physics, 2018 This paper devotes to conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation which appears in nonlinear fiber optics and photonic crystal fibers (PCF). We consider the model with full nonlinearity in order to give a generalized flavor.
Elif Yaşar +2 more
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AxiomsWith a specific Darboux transformation, we construct solutions to the sine-Gordon equation. We use both the simple Darboux transformation as well as the multiple Darboux transformation, which enables the obtainment of compact solutions of this equation ...
Pierre Gaillard
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Journal of Ocean Engineering and Science, 2019 The studies of the dynamic behaviors of nonlinear models arising in ocean engineering play a significant role in our daily activities. In this paper, an efficient mathematical technique, namely; the sine-Gordon expansion method is employed to construct ...
Hasan Bulut +3 more
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Novel Solutions of Perturbed Boussinesq Equation
Journal of Mathematical Sciences and Modelling, 2022 In this article, we have worked on the perturbed Boussinesq equation. We have applied the generalized Kudryashov method (GKM) and sine-Gordon expansion method (SGEM) to the perturbed Boussinesq equation. So, we have obtained some new soliton solutions of
Şeyma Tülüce Demiray, Uğur Bayrakcı
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Application of DRBEM for 2D sine-Gordon equation
Journal of Taibah University for Science, 2021 This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
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Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In general, due to the nature of the Lie group theory, symmetry analysis is applied to single equations rather than boundary value problems. In this paper boundary value problems for the sine-Gordon equations under the group of Lie point symmetries are ...
O. Yildirim, S. Caglak
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