PT-symmetric extension of the Korteweg-de Vries equation

被引：52
作者：
Bender, Carl M. [1 ]
Brody, Dorje C.
Chen, Jun-Hua
Furlan, Elisabetta
机构：
[1] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[2] Washington Univ, Dept Phys, St Louis, MO 63130 USA
[3] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England
[4] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, London SW7 2BZ, England
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 05期
关键词：
D O I：
10.1088/1751-8113/40/5/F02
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Korteweg-de Vries equation u(t) + uu(x) + u(xxx) = 0 is PT symmetric (invariant under spacetime reflection). Therefore, it can be generalized and extended into the complex domain in such a way as to preserve the PT symmetry. The result is the family of complex nonlinear wave equations u(t) - iu(iu(x))(epsilon) + u(xxx) = 0, where epsilon is real. The features of these equations are discussed. Special attention is given to the epsilon = 3 equation, for which conservation laws are derived and solitary waves are investigated.
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页码：F153 / F160
页数：8
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