Breather Wave Molecules. [PDF]
Physical Review Letters, 2019 We present both a theoretical description and experimental observation of the nonlinear mutual interactions between a pair of copropagative breathers in the framework of the focusing one-dimensional nonlinear Schrödinger equation.
Gang Xu +4 more
semanticscholar +5 more sources
Investigation on breather waves and rogue waves in applied mechanics and physics
Alexandria Engineering Journal, 2021 Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin +4 more
doaj +2 more sources
Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
Applied Mathematics Letters, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian-Tian Zhang, Lian-Li Feng
exaly +5 more sources
Revealing homoclinic breather waves, periodic lump waves and other waves forms of an integrable reduced spin Hirota-Maxwell-Bloch system [PDF]
Scientific ReportsIn this manuscript, we investigate various wave forms of an integrable reduced spin Hirota-Maxwell-Bloch system, which accounts for the femtosecond pulses transmitted in an erbium doped fibre.
Baboucarr Ceesay +4 more
doaj +2 more sources
Two-component breather solution of the nonlinear wave equation
SSRN Electronic Journal, 2023 A nonlinear wave equation that describes different nonlinear effects in various fields of research was considered. In two particular cases, this equation was reduced to the Sine-Gordon equation and the Born-Infeld equation.
Adamashvili, G. T.
core +3 more sources
Wave Climate, Geotechnical and Geophysical Analysis of the Tillamook Jetties [PDF]
Wave Energy AS (WE) is an ocean energy company from Norway established to develop, test, market and commercialize the patented SSG™ wave energy converter technology.
Wave Energy AS, Bakke, Monica
core +6 more sources
Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system [PDF]
Nonlinear Dynamics, 2021 Abstract In this paper, we will obtain the exact $N$-soliton solution of the coupled long-wave-short-wave system via the developed Hirota bilinear method. Through manipulating the relevant parameters, we will construct different types of solutions which include breather-like solutions and dark-soliton-breather-like solutions.
Kuai Bi +3 more
openaire +2 more sources
Creation and Characterization of Matter-Wave Breathers [PDF]
Physical Review Letters, 2020 We report the creation of quasi-1D excited matter-wave solitons, "breathers", by quenching the strength of the interactions in a Bose-Einstein condensate with attractive interactions. We characterize the resulting breathing dynamics and quantify the effects of the aspect ratio of the confining potential, the strength of the quench, and the proximity of
D. Luo +8 more
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Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation
Mathematics, 2023 This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
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Interaction solution to the (3+1)-D negative-order KdV first structure
Partial Differential Equations in Applied Mathematics, 2023 We derive N-solitons and interaction solution for the (3+1)-D negative-order KdV first structure that arises in shallow-water waves. We use the bilinear scheme and the simplified Hirota technique for this solution. From the multiple solitons solution, we
Mohammad Safi Ullah
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