Traveling Wave-Guide Channels of a New Coupled Integrable Dispersionless System

Traveling Wave-Guide Channels of a New Coupled Integrable Dispersionless System

In the wake of the recent investigation of new coupled integrable dispersionless equations by means of the Darboux transformation [Zhaqilao, et al., Chin. Phys; B 18 （2009） 1780], we carry out the initial value analysis of the previous system using the fourth-order Runge-Kutta＇s computational scheme...

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Veröffentlicht in:Communications in theoretical physics 2012, Vol.57 (1), p.10-14
Hauptverfasser: Souleymanou, Abbagari, Kuetche, Victor K., Bouetou, Thomas B., Kofane, Timoleon C.
Format: Artikel
Sprache:eng
Schlagworte:
Channels
Construction
Darboux变换
Mathematical analysis
Mathematical models
Runge-Kutta
Runge-Kutta method
Scattering
Transformations
Wakes
指南
散射方程
系统
耦合
行波
频道
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creator Souleymanou, Abbagari
Kuetche, Victor K.
Bouetou, Thomas B.
Kofane, Timoleon C.
description In the wake of the recent investigation of new coupled integrable dispersionless equations by means of the Darboux transformation [Zhaqilao, et al., Chin. Phys; B 18 （2009） 1780], we carry out the initial value analysis of the previous system using the fourth-order Runge-Kutta＇s computational scheme. As a result, while depicting its phase portraits accordingly, we show that the above dispersionless system actually supports two kinds of solutions amongst which the localized traveling wave-guide channels. In addition, paying particular interests to such localized structures, we construct the bilinear transformation of the current system from which scattering amongst the above waves can be deeply studied.
doi_str_mv 10.1088/0253-6102/57/1/03
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source IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link; Alma/SFX Local Collection
subjects Channels
Construction
Darboux变换
Mathematical analysis
Mathematical models
Runge-Kutta
Runge-Kutta method
Scattering
Transformations
Wakes
指南
散射方程
系统
耦合
行波
频道
title Traveling Wave-Guide Channels of a New Coupled Integrable Dispersionless System
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