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Auto-BTs and multisoliton solutions of MKdV system

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Abstract

Using the Dressing Methods (DM) we generate auto-Backluend Transformations (BTs) for a system of coupled Modified Korteweg-de Vries equations (MKdV). Our attention is focalized on the temporal part of the BTs because the spatial one is generic for the whole class of nonlinear evolution equations related to the AKNS spectral problem. With the nonlinear superposition principle we construct multisoliton solutions of the system. (author). 13 refs.
Authors:
Ndayirinde, I; Malfliet, W [1] 
  1. Antwerp Univ., Wilrijk (Belgium). Dept. of Physics
Publication Date:
Dec 31, 1994
Product Type:
Conference
Report Number:
CONF-9305414-
Reference Number:
SCA: 661100; 662100; PA: AIX-26:060804; EDB-95:132219; SN: 95001462482
Resource Relation:
Conference: Workshop on qualitative aspects and applications of nonlinear evolution equations, Trieste (Italy), 3-14 May 1993; Other Information: PBD: 1994; Related Information: Is Part Of Qualitative aspects and applications of nonlinear evolution equations. Proceeding of the workshop; Beirao da Veiga, H. [ed.] [Pisa Univ. (Italy)]; Li Tatsien [ed.] [Fudan Univ., Shanghai, SH (China)]; PB: 224 p.
Subject:
66 PHYSICS; KORTEWEG-DE VRIES EQUATION; BAECKLUND TRANSFORMATION; SOLITONS; MATHEMATICAL OPERATORS; NONLINEAR PROBLEMS
OSTI ID:
101423
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ISBN 981-02-1708-0; TRN: XA9539739060804
Submitting Site:
INIS
Size:
pp. 180-193
Announcement Date:
Jan 16, 2004

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Citation Formats

Ndayirinde, I, and Malfliet, W. Auto-BTs and multisoliton solutions of MKdV system. IAEA: N. p., 1994. Web.
Ndayirinde, I, & Malfliet, W. Auto-BTs and multisoliton solutions of MKdV system. IAEA.
Ndayirinde, I, and Malfliet, W. 1994. "Auto-BTs and multisoliton solutions of MKdV system." IAEA.
@misc{etde_101423,
title = {Auto-BTs and multisoliton solutions of MKdV system}
 author = {Ndayirinde, I, and Malfliet, W}
 abstractNote = {Using the Dressing Methods (DM) we generate auto-Backluend Transformations (BTs) for a system of coupled Modified Korteweg-de Vries equations (MKdV). Our attention is focalized on the temporal part of the BTs because the spatial one is generic for the whole class of nonlinear evolution equations related to the AKNS spectral problem. With the nonlinear superposition principle we construct multisoliton solutions of the system. (author). 13 refs.}
 place = {IAEA}
 year = {1994}
 month = {Dec}
 }