Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2021)145
Abstract: Abstract We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ϕ4 model, and a ϕ6-like model with three degenerate vacua. We find a rich variety of behaviours,… read more here.
Keywords: antikink collisions; sine gordon; model; resonance ... See more keywords
On the Asymptotic Expansion of Solutions to the Goursat Problem for the Sine-Gordon Equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-017-3241-7
Abstract: We construct an expansion of a solution to the Goursat problem for the sine-Gordon equation with respect to a small parameter that is involved in the data on characteristics. We prove that the expansion obtained… read more here.
Keywords: sine gordon; expansion; problem sine; gordon equation ... See more keywords
Analytical soliton solutions of the (2$$+$$+1)-dimensional sine-Gordon equation
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3241-z
Abstract: In this letter, we investigated a new (2$$+$$+1)-dimensional sine-Gordon equation. By the subsidiary ordinary differential equation method, some new explicit solutions are given. These solutions include hyperbolic function solutions and trigonometric function solutions amongst others.… read more here.
Keywords: sine gordon; gordon equation; analytical soliton; dimensional sine ... See more keywords
Modeling of the mode dynamics generated by Madison Symmetric Torus machine utilizing a modified sine-Gordon equation
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4302-2
Abstract: In this paper, a new dynamic model is presented for the experimental data generated by the Madison Symmetric Torus (MST) machine. The model is based on a modified sine-Gordon (SG) dynamic equation. The modified sine-Gordon… read more here.
Keywords: generated madison; sine gordon; mode; modified sine ... See more keywords
On the two-dimensional hyperbolic stochastic sine-Gordon equation
Sign Up to like & getrecommendations! Published in 2019 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-020-00165-8
Abstract: We study the two-dimensional stochastic sine-Gordon equation (SSG) in the hyperbolic setting. In particular, by introducing a suitable time-dependent renormalization for the relevant imaginary Gaussian multiplicative chaos, we prove local well-posedness of SSG for any… read more here.
Keywords: sine gordon; gordon equation; two dimensional; sine ... See more keywords
Wave dynamics on networks: Method and application to the sine-Gordon equation
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.03.010
Abstract: We consider a scalar Hamiltonian nonlinear wave equation formulated on networks; this is a non standard problem because these domains are not locally homeomorphic to any subset of the Euclidean space. More precisely, we assume… read more here.
Keywords: sine gordon; gordon equation; wave dynamics; equation ... See more keywords
The sine-Gordon expansion method for higher-dimensional NLEEs and parametric analysis
Sign Up to like & getrecommendations! Published in 2021 at "Heliyon"
DOI: 10.1016/j.heliyon.2021.e06459
Abstract: The Estevez-Mansfield-Clarkson (EMC) equation and the (2+1)-dimensional Riemann wave (RW) equation are important mathematical models in nonlinear science, engineering and mathematical physics which have remarkable applications in the field of plasma physics, fluid dynamics, optics,… read more here.
Keywords: dimensional nlees; sine gordon; gordon expansion; method ... See more keywords
The integrable time-dependent sine-Gordon equation with multiple optical kink solutions
Sign Up to like & getrecommendations! Published in 2019 at "Optik"
DOI: 10.1016/j.ijleo.2019.01.018
Abstract: Abstract In this work, we study the sine-Gordon equation with time-dependent coefficient. We show that this time-dependent equation passes the Painleve test for any analytic time-dependent coefficient. This confirms its integrability in a like manner… read more here.
Keywords: sine gordon; gordon equation; optical kink; equation ... See more keywords
On the finite volume expectation values of local operators in the sine-Gordon model
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.114749
Abstract: Abstract In this paper we present sets of linear integral equations which make possible to compute the finite volume expectation values of the trace of the stress energy tensor (Θ) and the U ( 1… read more here.
Keywords: sine gordon; expectation values; finite volume; expectation ... See more keywords
Dynamical behavior of water wave phenomena for the 3D fractional WBBM equations using rational sine-Gordon expansion method
Sign Up to like & getrecommendations! Published in 2024 at "Scientific Reports"
DOI: 10.1038/s41598-024-55215-1
Abstract: To 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… read more here.
Keywords: method; gordon expansion; sine gordon; wbbm equations ... See more keywords
Multiple Lax integrable higher dimensional AKNS(-1) equations and sine-Gordon equations.
Sign Up to like & getrecommendations! Published in 2024 at "Chaos"
DOI: 10.1063/5.0223870
Abstract: Through the modified deformation algorithm related to conservation laws, the (1+1)-dimensional AKNS(-1) equations are extended to a (4+1)-dimensional AKNS(-1) system. When one, two, or three of the independent variables are removed, the (4+1)-dimensional AKNS(-1) system… read more here.
Keywords: akns equations; akns; akns system; sine gordon ... See more keywords