Results 261 to 270 of about 1,408 (291)

Solitons and Breathers of Electromagnetic Wave in Superlattices

International Journal of Theoretical Physics, 2002
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Tian, Qiang, Wang, Jingping
openaire   +2 more sources

Peregrine breathers as design waves for wave-structure interaction

Ocean Engineering, 2016
This paper introduces the Peregrine breather solution of the nonlinear Schrödinger-type equation as an innovative design wave. The major benefits are the potential to generate abnormal waves of certain frequency up to physically possible wave heights, the symmetrical abnormal wave shape and the availability of an analytical solution.
Klein, Marco, Clauss, Günther F., Rajendran, Suresh, Soares, Carlos Guedes, Onorato, Miguel   +4 more
openaire   +1 more source

Breathers and breather-rogue waves on a periodic background for the derivative nonlinear Schrödinger equation

Physica Scripta, 2020
Abstract In this paper, we give the solutions on a periodic background in terms of the determinant form for the derivative nonlinear Schrödinger equation. Because its rogue wave on a periodic background has been studied, we investigate only the breather and breather-rogue wave on a periodic background for the derivative nonlinear ...
Bo Xue, Jing Shen, Xianguo Geng
openaire   +1 more source

Freak Waves and Giant Breathers

Volume 2: Structures, Safety and Reliability, 2008
It is assumed the solitons could propagate only on the surface of finite depth fluid. We show numerically that the strong localized perturbation of free fluid surface could propagate on the surface of deep fluid also. They are not solitons in a “classical” sense of this term; they are “breathers”.
Vladimir E. Zakharov, Alexander I. Dyachenko   +1 more
openaire   +1 more source

Hybrid soliton and breather waves, solution molecules and breather molecules of a (3+1)-dimensional Geng equation in shallow water waves

Physics Letters A, 2023
The authors present a comprehensive study on a \((3+1)\)-dimensional nonlinear Geng equation, a subject of considerable interest in the field of mathematical physics. Utilizing the Hirota bilinear method, the authors delve into the calculation of first- to fourth-order solutions of the equation, thereby contributing significantly to the existing body ...
Li, Bang-Qing, Ma, Yu-Lan
openaire   +1 more source

Dynamics of the breather waves, rogue waves and solitary waves in an extend Kadomtsev–Petviashvili equation

Applied Mathematics Letters, 2018
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Li Zou, Zong-Bing Yu, Xiu-Bin Wang
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The solitary waves, breather waves and rogue waves for a generalized nonlinear equation

Modern Physics Letters B, 2019
Under investigation in this work is a generalized nonlinear equation, which can be widely applied to describe various phenomena in nonlinear physical science field. The equation can be reduced to Kadomtsev–Petviashvili-type equations and Jimbo–Miwa-type equations as its special cases.
Hui Wang, Shou-Fu Tian, Tian-Tian Zhang, Yi Chen   +3 more
openaire   +1 more source

Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation

Applied Mathematics Letters, 2018
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Lian-Li Feng, Tian-Tian Zhang
exaly   +3 more sources

Spin Wave Breathers in 3He B

1979
We have already reported elsewhere [1] a short study of the following problems: the solution of the double sine-Gordon equations [2,3,4] $$ \mathop {\text{u}}\nolimits_{\text{xx}} - \mathop {\text{u}}\nolimits_{\text{tt}} \text{ = }\; \mp \;(\sin {\text{u}} + \frac{1} {2}\lambda {\text{sin}}\frac{1} {2}{\text{u}}) $$ (1) for boundary ...
P. W. Kitchenside, R. K. Bullough, P. J. Caudrey   +2 more
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Homoclinic breather-wave solutions for Sine–Gordon equation

Communications in Nonlinear Science and Numerical Simulation, 2009
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Dai, Zhengde, Xian, Daquan
openaire   +2 more sources