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Breather to the yajima-oikawa system

WebOikawa System: Bright, Dark Soliton and Breather Solutions, Studies in Applied Mathematics, 141 ... discretizations of the coupled Yajima-Oikawa system, J. Phys. A 49 (2016) 165201 (19 pp). 27) Senyue Lou,Bao-Feng Feng, Ruoxia Yao, Muti-soliton solution to a two-component Hunter-Saxton WebDec 4, 2024 · The Yajima-Oikawa (YO) system describes the resonant interaction between long and short waves under certain condition. In this paper, through the KP hierarchy …

Tau‐function formulation for bright, dark soliton and breather ...

WebA coupled modified Yajima–Oikawa system is derived through asymptotic reductions. Soliton and breather solutions are obtained via the bilinear KP-hierarchy reduction. … WebNov 1, 2024 · Introduction. The long-wave-short-wave resonance equation, u t = 2 ( w 2) x, i w t = w x x + w u, was proposed in 1976 by Yajima and Oikawa [1], also called the Yajima–Oikawa (YO) equation, on the basis of a system of equations for an ion sound wave under the action of a ponderomotive force due to the high-frequency field for the … regent square apartment houston https://noagendaphotography.com

The Derivative Yajima–Oikawa System: Bright, …

WebOct 1, 2024 · Breather to the Yajima–Oikawa system. 2024.... X.E. Zhang et al. Rogue wave and a pair of resonance stripe solitons to a reduced (3 + 1)-dimensional Jimbo–Miwa equation. Commun Nonlinear Sci Numer Simul (2024) Z. Zhang et al. Fusion and fission phenomena for (2 + 1)-dimensional fifth-order KdV system. Appl Math Lett (2024) Y.L. … WebYajima–Oikawa System: Bright, Dark Soliton and Breather Solutions, Studies in Applied Mathematics, 141 (2024),145–185. ... Bao-Feng Feng, Zuonong Zhu, Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation, Physica D, 327 (2016) 13-29. 18) Junchao Chen, Yong Chen, Bao-Feng Feng, Ken-ichi ... WebDec 4, 2024 · The Yajima-Oikawa (YO) system describes the resonant interaction between long and short waves under certain condition. In this paper, through the KP hierarchy … problems affecting education

The coupled modified Yajima–Oikawa system: Model

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Breather to the yajima-oikawa system

Hybrid solutions to Mel’nikov system SpringerLink

WebPeregrine soliton can be obtained from a breather solution when the period is taken to infinity. More recently, significant progress on higher order rogue waves has been achieved [16–41] since a few special higher order rogue ... (1D) Yajima-Oikawa (YO) system[61]. This phenomenon has been predicted in diverse areas such as plasma … WebSep 1, 2024 · Similar to the Yajima–Oikawa (YO) system , this equation is also described the interaction between the long-wave and the short-wave packets, while it is a (2 \(+\) 1)-dimensional equation. According to the asymptotic analysis of the two-soliton solution, the Mel’nikov system can be characterized as the boomeron-type solutions [ 23 ].

Breather to the yajima-oikawa system

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WebSep 12, 2024 · General high-order rogue wave solutions for the (1+1)-dimensional Yajima-Oikawa (YO) system are derived by using Hirota's bilinear method and the KP-hierarchy reduction technique. These rogue wave solutions are presented in terms of determinants in which the elements are algebraic expressions. The dynamics of first and higher-order … WebThe Yajima-Oikawa (YO) system describes the resonant interaction between long and short waves under certain condition. In this paper, through the KP hierarchy reduction, …

WebTitle: Breather to the Yajima-Oikawa system. Authors: Junchao Chen, Yong Chen, Bao-Feng Feng, Ken-ichi Maruno (Submitted on 4 Dec 2024) Abstract: The Yajima-Oikawa (YO) system describes the resonant interaction between long and short waves under certain condition. In this paper, through the KP hierarchy reduction, we construct the breather ... WebThe first one is the Yajima–Oikawa (YO) system [3], which originated from the Zakharov’s theory for Langmuir and ion acoustic waves in plasma when the LW propagates in one …

WebMay 12, 2024 · A systematic approach for constructing exact periodic-background solutions of integrable nonlinear evolution equations associated with \(3\times 3\) spectral …

WebThe Yajima-Oikawa (YO) system describes the resonant interaction between long and short waves under certain condition. In this paper, through the KP hierarchy reduction, …

Webwave amplitudes and length scales. Among which, there are two integrable cases: one is the Yajima-Oikawa system [45], and the other one is the Newell model [46, 47]. The Yajima-Oikawa system is analogue to the NLS equation in the long wave-short wave case, whereas the Newell model is analogue to the derivative nonlinear Schr odinger (dNLS) regents private school austin texasWebDec 4, 2024 · Abstract: The Yajima-Oikawa (YO) system describes the resonant interaction between long and short waves under certain condition. In this paper, through the KP … regents publisherWebApr 30, 2024 · In addition, we derive two types of breather solutions from the different reduction, which contain the homoclinic orbit and Kuznetsov–Ma breather solutions as … regent square real estate in pittsburgh pa