Websponding to a distinct type of breather/soliton gas. Each type of the scaling implies a speci c balance of terms in the nonlinear dispersion relations (1), resulting in certain distinct properties of the corresponding soliton/breather gases. We show that the super-exponential scaling corre-sponds to an \ideal gas" of non-interacting, isolated WebJun 25, 2024 · 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. Due to the existences of abundant structures of the solitons and breathers, it …
Directional soliton and breather beams PNAS
WebThe kink soliton is topological, meaning that the boundary conditions at infinity for the wave are topologically different to the vacuum it is in [1]. These kink solitons are also … WebIn many physical contexts, notably including deep-water waves, modulation instability in one space dimension is often studied by using the nonlinear Schrödinger equation. The principal solutions of interest are solitons and breathers which are adopted as models of wave packets. The Peregrine breather in particular is often invoked as a model of a … sethu institute of technology naac
arXiv:1910.05732v3 [nlin.PS] 4 Apr 2024
http://www.scholarpedia.org/article/Soliton WebApr 26, 2024 · Fig. 1. Normalized representation of a unidirectional as well as slanted NLSE envelope soliton and Peregrine breather for a carrier amplitude a = 0.02 m and steepness ak = 0.1 at t = 0. ( A) Unidirectional envelope soliton dynamics for 𝜗 = 0 . ( B) Envelope soliton dynamics slanted by an angle of 𝜗 = 20 . WebThe real modified Korteweg-de Vries equation governs the modulation of weakly nonlinear waves. We first review the multiple soliton solutions to the mKdV equation by means of the inverse scattering method in detail. It is found the soliton solutions are related to pure imaginary discrete eigenvalues, while the breathers are derived from complex … the three priests who were executed at luneta