Defocusing hirota equation
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 … WebJun 3, 2024 · Applying the Darboux transformation to the mWKI equation, we show that in both the focusing and defocusing cases, the mWKI equation admits an analytic bright soliton solution from the vacuum and the collisions of n solitons are elastic based on the asymptotic analysis.
Defocusing hirota equation
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WebSep 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. 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.
Web王玉青，钟东洲，张昕，黄东. . 具有各向异性螺旋相位分布的椭圆光在各向同性介质中的传输特性. 王玉青，钟东洲，张昕 ... WebOct 1, 2024 · When the TOD and SS are taken into account, the ultrashort light pulses in optical fibers can be governed by the integrable Hirota equation (HE): [ 7 – 10] where σ = ± 1 means the focusing or defocusing type, and α denotes the coefficients of high order effects. When α = 0, Eq. ( 1) can be reduced to the well-known NLSE.
WebJul 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 … WebMay 1, 2024 · When σ1 and σ2 are positive, Eqs. (1) are called the focusing-focusing coupled Hirota equations; When σ1 and σ2 are negtive, Eqs. (1) are called the defocusing-defocusing coupled Hirota equations; When σ1 and σ2 have the opposite signs, Eqs. (1) are called the mixed coupled Hirota equations [47].
WebAnomalous waves and rogue events are closely associated with irregularities and unexpected events occurring at various levels of physics, such as in optics, in oceans and in the atmosphere. Mathematical modeling of rogue waves is a highly active field of research, which has evolved over the last few decades into a specialized part of mathematical …
Webthe local Hirota equation, ... and defocusing nonlocal mKdV equations with nonzero boundary conditions. Physica D, 402 (2024) 132170. [7] M. M. Wang, Y. Chen, Dynamic behaviors of general N-solitons for the nonlocal generalized nonlinear Schro¨dinger equation. Nonlinear Dyn., 104 (2024) 2621-2638. triple concierto de beethovenWebIn 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... triple concierto beethoven barenboimWebJun 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,... triple confirmation strategyWebWe then apply our results for several dispersive models such as the Hirota-Satsuma system, the OST equation, the Kawahara equation and a fifth-order model. Using these local results, the second part of this work is devoted to obtain results related to dispersive blow up of the Kawahara equation and Hirota-Satsuma system. triple confidential on fox nationWebThe general coupled Hirota equations are investigated, which describe the wave propagations of two ultrashort optical fields in a fibre. Firstly, we study the modulational … triple computer monitor standsWebJul 1, 2024 · 3. Modified Double Laplace Decomposition Method (MDLDM) It is a hybrid method used for the series solution of linear and non-linear problems in the form of … triple cone holderWebFeb 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 … triple cookie caramel nana pudding cheesecake