Results 31 to 40 of about 4,963 (301)
Rogue Waves With Rational Profiles in Unstable Condensate and Its Solitonic Model
In this brief report we study numerically the spontaneous emergence of rogue waves in 1) modulationally unstable plane wave at its long-time statistically stationary state and 2) bound-state multi-soliton solutions representing the solitonic model of ...
D. S. Agafontsev +3 more
doaj +1 more source
Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices [PDF]
We start by considering the sine-Gordon partial differential equation (PDE with an arbitrary perturbation. Using the method of Kuzmak-Luke, we investigate those conditions the perturbation must satisfy in order for a breather solution to be a valid ...
Wattis, Jonathan +2 more
core +1 more source
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. As a general case, we show that the resulting bound state of breathers exhibits moleculelike behavior with quasiperiodic ...
Xu, Gang +4 more
openaire +4 more sources
The dynamics of two component coupled Airy beams is investigated. In the linear propagation regime a complete analytic solution describes breather like propagation of the two components featuring non-diffracting self-accelerating Airy behavior. The superposition of two beams with different input properties opens the possibility to design more complex ...
Driben, R., Konotop, V. V., Meier, T.
openaire +3 more sources
Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups; pp. 356–360 [PDF]
The nonlinear Schrödinger (NLS) equation is a popular and relatively simple model used extensively to describe the evolution of nonlinear water-wave groups.
Lev Shemer
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Interactions of Coherent Structures on the Surface of Deep Water
We numerically investigate pairwise collisions of solitary wave structures on the surface of deep water—breathers. These breathers are spatially localised coherent groups of surface gravity waves which propagate so that their envelopes are stable ...
Dmitry Kachulin +2 more
doaj +1 more source
Global warming appears to favour smaller-bodied organisms, but whether larger species are also more vulnerable to thermal extremes, as suggested for past mass-extinction events, is still an open question. Here, we tested whether interspecific differences
Piero Calosi (239667) +2 more
core +2 more sources
Ion Acoustic Breathers in Electron-Beam Plasma
The nonlinear excitations of ion acoustic (IA) structures in an electron beam embedded plasma composed of Vasyliunas–Cairns (VC) distributed hot electrons has been studied.
Manveet Kaur +3 more
doaj +1 more source
Bounded States for Breathers–Soliton and Breathers of Sine–Gordon Equation [PDF]
Abstract The Wronskians solutions to the sine-Gordon (sG) equation that can provide interaction of different kinds of solutions are revisited. A novel expression N-soliton solution with a nonzero background is presented which is used to construct the soliton and breather solutions.
openaire +1 more source
In this article, the equation showing the cold bosonic atoms in a zig-zag optical lattice model for some breathers, M-shaped solution and lump soliton solution, homoclinic breather pulses, breather lump pulses, periodic-cross kink wave, kink cross ...
Rizvi Syed T. R. +2 more
doaj +1 more source

