MKdV方程和SG方程的可积曲面的构造(Conformation of soliton surfaces of MKdV equation and SG equation)
Zhejiang Daxue xuebao. Lixue ban, 2010 The soliton solutions and the soliton surfaces of Modified Korteweg-de Vries equation (MKdV) and Sine-Gordon (SG) equation by the n-fold Darboux transformation are given out.
ZHANGLing(张玲), DINGNan(丁楠)
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Advances in Mathematical PhysicsThe two-dimensional (2D) nonlinear coupled sine-Gordon equations play a significant role in nonlinear physics, describing phenomena in areas such as solid-state physics, fluid dynamics, and nonlinear optics.
Wubshet Ibrahim, Teresa Negesa
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Exact Solutions of Coupled Sine-Gordon Equations Using the Simplest Equation Method
Journal of Applied Mathematics, 2014 The simplest equation method has been used for finding the exact solutions of coupled sine-Gordon equations. Such equations have some useful applications in physics and biology, so finding their exact solutions is of great importance.
Yun-Mei Zhao
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Elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 and their pohlmeyer reduction
European Physical Journal C: Particles and Fields, 2018 We study classical string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2 that correspond to elliptic solutions of the sine-Gordon equation. In this work, these solutions are systematically derived by inverting the Pohlmeyer reduction.
Dimitrios Katsinis +2 more
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Acoustic emission from a dislocation kink accelerated by an external force
Archives of Acoustics, 2005 The emission of elastic waves from a dislocation kink accelerated by a constant external force is presented. The dynamics of the dislocation kink interacting with longitudinal acoustic waves is described by a sine-Gordon--d'Alembert system,
E. Douka, B. Polyzos, A. Trochidis
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Quantum simulation of expanding space–time with tunnel-coupled condensates
New Journal of Physics, 2015 We consider two weakly interacting quasi-1D condensates of cold bosonic atoms. It turns out that a time-dependent variation of the tunnel-coupling between those condensates is equivalent to the spatial expansion of a one-dimensional toy-Universe, with ...
Clemens Neuenhahn, Florian Marquardt
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On the Complexiton Solutions to the Conformable Fractional Hirota–Satsuma–Ito Equation
Journal of MathematicsThis study analyzes the Hirota–Satsuma–Ito equation, which discusses the propagation of unidirectional shallow-water waves and the interactions between two long waves with different dispersion forms.
Hajar F. Ismael +5 more
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Sine-Gordon Equation in (1+2) and (1+3) dimensions: Existence and Classification of Traveling-Wave Solutions. [PDF]
PLoS One, 2015 Zarmi Y.
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On Transformations of the Rabelo Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations.
Anton Sakovich, Sergei Sakovich
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Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Sci RepAlmetwally EM +5 more
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