Results 21 to 30 of about 2,039 (189)
Journal of Function Spaces, 2021 In this paper, we study the (3+1)-dimensional variable-coefficient nonlinear wave equation which is taken in soliton theory and generated by utilizing the Hirota bilinear technique.
Xuejun Zhou +5 more
doaj +1 more source
A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation
Complexity, 2019 Based on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being ...
Xi-zhong Liu +3 more
doaj +1 more source
Frontiers in Physics, 2021 This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled ...
Nauman Raza +5 more
doaj +1 more source
A $$\phi ^6$$ ϕ6 soliton with a long-range tail
European Physical Journal C: Particles and Fields, 2020 We propose an analytically solvable sextic potential model with non-trivial soliton solutions connecting the trivial vacua. The model does not respect parity symmetry, and like $$\phi ^4$$ ϕ4 theory has two minima.
André Amado, Azadeh Mohammadi
doaj +1 more source
Results in Physics, 2023 In this article, four powerful techniques namely, the three wave method, double exponential, homoclinic breather, M-Shaped rational, M-Shaped with one kink, and M-Shaped with two kink are putting into practice to bolster the new optical solutions of the ...
Abdulmalik A. Altwaty
doaj +1 more source
New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations
Abstract and Applied Analysis, 2015 The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)-dimensional Kadomtsev-Petviashvili (KP) and (2+1)-dimensional Boussinesq equations.
Bo Ren, Jun Yu, Xi-Zhong Liu
doaj +1 more source
New Journal of Physics, 2016 We report studies of controlled interactions of localised dissipative structures in a system described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the Lugiato–Lefever model).
Jae K Jang +5 more
doaj +1 more source
The nonlinear vibration and dispersive wave systems with extended homoclinic breather wave solutions
Open Physics, 2022 This article investigates the extended homoclinic (heteroclinic) breather wave solutions and interaction periodic and dark soliton solutions to the nonlinear vibration and dispersive wave systems.
Rao Xianqing +5 more
doaj +1 more source
Interaction between vector solitons and solitonic gluons
Optics Letters, 1999 We describe a physical mechanism for creating multisoliton bound states by which optical solitons are glued together by attraction between the nonsoliton beams that they guide, solitonic gluons. We verify the concept of the solitonic gluons experimentally, observing a suppression of the repulsion between dark solitons owing to an attractive force ...
Chen, Zhanghai H +3 more
openaire +2 more sources
Resonant plasmon-soliton interaction [PDF]
Physical Review A, 2009 We describe an effective resonant interaction between two localized wave modes of different nature: a plasmon-polariton at a metal surface and a self-focusing beam (spatial soliton) in a non-linear dielectric medium. Propagating in the same direction, they represent an exotic coupled-waveguide system, where the resonant interaction is controlled by the
Bliokh, Konstantin +2 more
openaire +3 more sources