Zooming in: From spatially extended traveling waves to localized structures: The case of the Sine-Gordon equation in (1+3) dimensions. [PDF]
PLoS ONE, 2017 The Sine-Gordon equation in (1+3) dimensions has N-traveling front ("kink", "domain wall")- solutions for all N ≥ 1. A nonlinear functional of the solution, which vanishes on a single-front, maps multi-front solutions onto sets of infinitely long, but ...
Yair Zarmi
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Spatially Extended Relativistic Particles Out of Traveling Front Solutions of Sine-Gordon Equation in (1+2) Dimensions. [PDF]
PLoS ONE, 2016 Slower-than-light multi-front solutions of the Sine-Gordon in (1+2) dimensions, constructed through the Hirota algorithm, are mapped onto spatially localized structures, which emulate free, spatially extended, massive relativistic particles.
Yair Zarmi
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Abundant Interaction Solutions of Sine-Gordon Equation [PDF]
Journal of Applied Mathematics, 2012 With the help of computer symbolic computation software (e.g., Maple), abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method.
DaZhao Lü +3 more
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Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation.
Kenichi Kondo
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Salient features of dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2
European Physical Journal C: Particles and Fields, 2019 We study several physical aspects of the dressed elliptic strings propagating on $$\mathbb {R} \times \mathrm {S}^2$$ R×S2 and of their counterparts in the Pohlmeyer reduced theory, i.e. the sine-Gordon equation.
Dimitrios Katsinis +2 more
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Integrable discretizations of the sine-Gordon equation [PDF]
, 2001 The inverse scattering theory for the sine-Gordon equation discretized in space and both in space and time is considered.
BOITI, Marco +3 more
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Excited state Destri-De Vega equation for sine-Gordon and restricted sine-Gordon models [PDF]
Physics Letters B, 1997 We derive a generalization of the Destri - De Vega equation governing the scaling functions of some excited states in the Sine-Gordon theory. In particular configurations with an even number of holes and no strings are analyzed and their UV limits found to match some of the conformal dimensions of the corresponding compactified massless free boson ...
Fioravanti D. +3 more
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Rational Sine-Gordon expansion method to analyze the dynamical behavior of the time-fractional phi-four and (2 + 1) dimensional CBS equations [PDF]
Scientific ReportsThis study uses the rational Sine-Gordon expansion (RSGE) method to investigate the dynamical behavior of traveling wave solutions of the water wave phenomena for the time-fractional phi-four equation and the (2 + 1) dimensional Calogero-Bogoyavlanskil ...
Abdulla-Al- Mamun +3 more
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New Travelling Wave Solutions for Sine-Gordon Equation [PDF]
Journal of Applied Mathematics, 2014 We propose a method to deal with the general sine-Gordon equation. Several new exact travelling wave solutions with the form of JacobiAmplitude function are derived for the general sine-Gordon equation by using some reasonable transformation.
Yunchuan Sun
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Dynamical behavior of water wave phenomena for the 3D fractional WBBM equations using rational sine-Gordon expansion method [PDF]
Scientific ReportsTo examine the dynamical behavior of travelling wave solutions of the water wave phenomenon for the family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations, this work employs the rational Sine-Gordon expansion (RSGE) approach based on the ...
Abdulla-Al- Mamun +3 more
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