Results 61 to 70 of about 278,413 (313)
Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation
Physical Review E, 2013 20 pages, 7 figures.
Wang, L. H., Porsezian, K., He, J. S.
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Multi-breather solutions to the Sasa-Satsuma equation
, 2022 General breather solution to the Sasa-Satsuma (SS) equation is systematically investigated in this paper. We firstly transform the SS equation into a set of three Hirota bilinear equations under proper plane wave background.
Shi, Changyan +3 more
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, 2020 Under investigation in this work is a (2+1)-dimensional generalized Korteweg-de Vries equation, which can be used to describe many nonlinear phenomena in plasma physics.
Hui Wang +3 more
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Breather solutions for semilinear wave equations
We prove existence of real-valued, time-periodic and spatially localized solutions (breathers) of semilinear wave equations $V(x)u_{tt} - u_{xx} = Γ(x) |u|^{p-1} u$ on $\mathbb{R}^2$ for all values of $p\in (1,\infty)$. Using tools from the calculus of variations our main result provides breathers as ground states of an indefinite functional under ...
Henninger, Julia +2 more
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Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation. [PDF]
PLoS ONE, 2018 In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation.
Wei Liu, Jing Zhang, Xiliang Li
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Results in Physics, 2021 Based on the N-soliton solutions, the resonant line wave soliton and interaction solutions are derived through some constraints in the (2+1)-dimensional nonlinear wave equation. General resonant line wave soliton solutions are firstly presented and their
Qingqing Chen +3 more
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, 2022 The interaction of high-order breather, periodic-wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation are investigated by means of the Kadomtsev-Petviashvili (KP) hierarchy reduction method ...
Pei Xia, Rusuo Ye, Yi Zhang
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Breather Solutions of N-wave Equations
, 2012 We consider $N$-wave type equations related to symplectic and orthogonal algebras. We obtain their soliton solutions in the case when two different $\mathbb{Z}_2$ reductions (or equivalently one $\mathbb{Z}_{2} \times \mathbb{Z}_{2}$-reduction) are imposed.
Gerdjikov, Vladimir, Valchev, Tihomir
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Results in Physics, 2022 In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen +5 more
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Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems [PDF]
Mathematics and Computers in Simulation, 2003 In this paper we investigate the emergence of time-periodic and and time-quasiperiodic (sometimes infinitely long lived and sometimes very long lived or metastable) solutions of discrete nonlinear wave equations: discrete sine Gordon, discrete $ϕ^4$ and discrete nonlinear Schrödinger.
P. G. Kevrekidis, Michael I. Weinstein
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