Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2+1)-Dimensional Equation
作者:
Song-Ju Yu,
Kouichi Toda,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 2000)
卷期:
Volume 7,
issue 1
页码: 1-13
ISSN:1402-9251
年代: 2000
DOI:10.2991/jnmp.2000.7.1.1
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, we modify theToperator in the the Lax pair of the CKdV equation, in the search of a (2+1)-dimensional case and thereby propose a new equation in (2+1) dimensions. We named this the (2+1)-dimensional CKdV equation. We show that the CKdV equation as well as the (2+1)-dimensional CKdV equation are integrable in the sense that they possess the Painlevé property. Some exact solutions are also constructed.
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