A method to generate new exact solutions from a known stationary solution

Authors
Liu, ZR Huang, DB
Citation
Zr. Liu et Db. Huang, A method to generate new exact solutions from a known stationary solution, CHIN PHYS L, 16(5), 1999, pp. 313-315
Citations number
13
Categorie Soggetti
Physics
Journal title
CHINESE PHYSICS LETTERS
ISSN journal
0256307X → ACNP
Volume
16
Issue
5
Year of publication
1999
Pages
313 - 315
Database
ISI
SICI code
0256-307X(1999)16:5<313:AMTGNE>2.0.ZU;2-1
Abstract
By combining the Backlund transformations and the AKNS system[ Study in App l. Math. 53 (1974) 249.] which is a linear eigenvalue problem of the corres ponding evolution equation, a method to find new exact solutions from known stationary solutions for nonlinear integrable equations is proposed. As an example, Korteweg de Vries (Kd V) equation is used to illustrate this meth od, and a class of new exact solutions of KdV equation is obtained.