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Bäcklund Transformations and Exact Soliton Solutions for Some Nonlinear Evolution Equations of the zs/akns System

✍ Scribed by A.H. Khater; R.S. Ibrahim; O.H. El-kalaawy; D.K. Callebaut

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
205 KB
Volume
9
Category
Article
ISSN
0960-0779

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✦ Synopsis

The general form of the Ba Ãcklund transformations "BTs# for some nonlinear evolution equations "NLEEs# solvable by the inverse scattering method of Zakharov!Shabat:Ablowitz!Kaup!Newell!Segur "ZS:AKNS# and the ZS:AKNS wave functions corresponding to the soliton solutions of these NLEEs are considered[ The method of characteristics is used and BTs are employed to generate new solutions from the old[ Thus\ families of new solution classes for the KdV equation\ the mKdV equation\ the sinh! Poisson equation\ the Liouville equation\ the stable nonlinear Schro à dinger equation\ the unstable nonlinear Schro à dinger equation\ and the inhomogeneous nonlinear Schro à dinger equation are obtained[ Þ 0887 Elsevier Science Ltd[ All rights reserved[

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