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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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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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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The nonlinear and nonlocal integrable sine‐Gordon equation
Mathematical Modelling and Analysis, 2005 A new type of the nonlocal sine‐Gordon equation with the generalized interaction term is suggested. Its limit cases, symmetries and exact analytical solutions are obtained. This type of the nonlocal sine‐Gordon equation is shown to possess one‐, two‐ and
P. Miškinis
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Is the Z2×Z2-graded sine-Gordon equation integrable? [PDF]
Nuclear Physics B, 2021 We examine the question of the integrability of the recently defined Z2×Z2-graded sine-Gordon model, which is a natural generalisation of the supersymmetric sine-Gordon equation.
Andrew James Bruce
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Exact solutions to the sine-Gordon equation [PDF]
Journal of Mathematical Physics, 2010 A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable x and the temporal variable t, and they are exponentially asymptotic to integer multiples of 2π as x → ±∞. The solution formulas are expressed explicitly in terms of a real
T. AKTOSUN +2 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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Results in Applied MathematicsIn this paper we investigate the fractional modified Korteweg de Vries-sine-Gordon equation and show the inverse scattering transform method can also be used to obtain soliton solutions of fractional modified Korteweg de Vries-sine-Gordon equation. It is
Bazar Babajanov, Fakhriddin Abdikarimov
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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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