Results 31 to 40 of about 1,104 (261)

Integration of the fractional modified Korteweg de Vries-sine-Gordon equation by the inverse scattering method

Results in Applied Mathematics
In 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
doaj   +1 more source

Coupled Sine-Gordon Systems in DNA Dynamics

Advances in Mathematical Physics, 2018
We consider a model called the coupled sine-Gordon equation for DNA dynamics by introducing two double helix structures. The second double helix structure is unilaterally influenced by the first one. The completely integrable coupled sine-Gordon equation
Liya Liu, Chuanzhong Li
doaj   +1 more source

The solitary wave solutions to the Klein–Gordon–Zakharov equations by extended rational methods

AIP Advances, 2021
In this paper, using the extended rational sine–cosine and rational sinh–cosh methods, we find new soliton solutions for the Klein–Gordon–Zakharov equations.
Shao-Wen Yao, Sayyed Masood Zekavatmand, Hadi Rezazadeh, Javad Vahidi, Mohammad Bagher Ghaemi, Mustafa Inc   +5 more
doaj   +1 more source

Solutions of the Hyperbolic sine–Gordon Equations [PDF]

International Journal of Theoretical Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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 Schröedinger (NLS) type equation.
JI X. D, LEVI, Decio, PETRERA M.
openaire   +3 more sources

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, Ioannis Mitsoulas, Georgios Pastras   +2 more
doaj   +1 more source

On the Monge-Ampere equivalent of the sine-Gordon equation [PDF]

Journal of Physics A: Mathematical and General, 1994
latex
FERAPONTOV, EV, NUTKU, Y
openaire   +3 more sources

New optical solitons of space-time conformable fractional perturbed Gerdjikov-Ivanov equation by sine-Gordon equation method

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, Yakup Yıldırım, Emrullah Yaşar   +2 more
doaj   +1 more source

Solutions to the Sine-Gordon Equation: From Darboux Transformations to Wronskian Representations of the k-Negaton-l-Positon-n-Soliton Solutions

Axioms
With 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
doaj   +1 more source

New solitary wave structures to the (3 + 1) dimensional Kadomtsev–Petviashvili and Schrödinger equation

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, Emine Nesligül Aksan, Miraç Kayhan, Tukur Abdulkadir Sulaıman   +3 more
doaj   +1 more source