The Investigation into New Equations in (2 + 1) Dimensions

DOI

10.2991/jnmp.2001.8.s.47How to use a DOI?

Abstract

First of all, we show the existence of the Lax pair for the Calogero Korteweg-de Vries(CKdV) equation. Next we modify T operator that is one of the Lax pair for the CKdV equation for the search of the (2 + 1)-dimensional case and propose a new equation in (2 + 1) dimensions. We call it the (2 + 1)-dimensional CKdV equation. And then we discuss the modification of L operator that is another of the Lax pair of the CKdV equation. Moreover we attempt the modification of L and T operators.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Kouichi Toda
AU  - Song-Ju Yu
PY  - 2001
DA  - 2001/02/01
TI  - The Investigation into New Equations in (2 + 1) Dimensions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 272
EP  - 277
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.47
DO  - 10.2991/jnmp.2001.8.s.47
ID  - Toda2001
ER  -