Defocusing hirota equation
WebFeb 6, 2024 · The general coupled Hirota equations are investigated, which describe the wave propagations of two ultrashort optical fields in a fibre. ... (2024) Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions, Communications in Nonlinear Science and Numerical … WebJun 1, 2024 · Abstract We are concerned with the long-time asymptotic behavior of the solution for the focusing Hirota equation (also called third-order nonlinear Schrödinger equation) with symmetric,...
Defocusing hirota equation
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WebIn this paper, we study the vector multi-pole (MP) solutions of the r-coupled Hirota equation (RCHE). First of all, based on the Darboux transformation and the N-soliton solution, we derive the... WebThe general coupled Hirota equations are investigated, which describe the wave propagations of two ultrashort optical fields in a fibre. Firstly, we study the modulational instability for the focusing, defocusing and mixed cases. Secondly, we present a unified formula of high-order rational rogue wa …
WebThen, we obtain three types of N-coupled variable-coefficient equations (N-coupled NLS equations, N-coupled Hirota equations and N-coupled high-order NLS equations). Then, the compatibility conditions are given, which insure that these equations are integrable. Finally, the explicit solutions of the new integrable equations are obtained. WebThe defocusing Hirota equation has dark and gray soliton solutions which are stable on a background of periodic waves of constant amplitude. In this paper, gray solitary wave evolution for a higher-order defocusing Hirota equation is examined.
WebDec 14, 2024 · We consider the long-time asymptotics for the defocusing Hirota equation with Schwartz Cauchy data in the transition region. On the basis of direct and inverse scattering transform of the Lax pair of Hirota … Webresults of the solutions for the defocusing Hirota equation. In section 4, we investigate the asymptotic behavior of the Hirota equation in the sector P≥ using the same way as the …
WebApr 10, 2024 · The residual symmetry of the KdV6 equation is obtained by the Painlevé truncate expansion. Since the residual symmetry is non-local, five field quantities are introduced to localize it into the local one. Besides, the interaction solutions between solitons and cnoidal periodic waves of the KdV6 equation are constructed by making use of the … healthy relationship group therapy activitiesWebOct 1, 2024 · There are two versions of the NLS equation depending on the sign of the dispersion namely, the focusing NLS equation for anomalous dispersion regime ( σ = 1) and the defocusing NLS equation for normal dispersion regime ( σ = − 1 ). healthy relationship fridge magnetWebJul 1, 2024 · The coupled nonlinear Schröinger (NLS) equations written as (1) i u 1 t + u 1 x x + 2 ( u 1 2 + u 2 2) u 1 = 0, i u 2 t + u 2 x x + 2 ( u 1 2 + u 2 2) u 2 = 0, can be used to describe the nonlinear phenomena in optics [1], finance [2], oceanics [3] and other fields [4], [5], where u 1 and u 2 represent the slowly varying … healthy relationship group materialWebFeb 6, 2024 · Painleve-type asymptotics for the defocusing Hirota equation in transition region. Weikang Xun, Luman Ju, Engui Fan. We consider the Cauchy problem for the … healthy relationship expectations worksheetWebAbstract: In this paper, a Crank-Nicolson-type finite difference method is proposed for computing the soliton solutions of a complex modified Korteweg-de Vries (MKdV) equation (which is equivalent to the Sasa-Satsuma equation) with the vanishing boundary condition. healthy relationship dynamicWebThe Hirota equation with self-consistent sources is derived by considering the no... Based on a 2 × 2 matrix ∂̄ problem, we have obtained the Lax pair by constructing a spectral transformation matrix. healthy relationship quiz handoutWebSep 7, 2016 · We study a supersymmetric version of the Gardner equation (both focusing and defocusing) using the superbilinear formalism. This equation is new and cannot be obtained from the supersymmetric modified Korteweg–de Vries equation with a nonzero boundary condition. mottoparty firma