PT-Symmetric Extension of the Korteweg-de Vries Equation

Details PT-Symmetric Extension of the Korteweg-de Vries Equation PT-Symmetric Extension of the Korteweg-de Vries Equation

2006-10-02

arxiv.org/abs/math-ph/0610003v1

J.Phys.A40:F153-F160,2007

Physics

Mathematical Physics

9 pages, 6 figures

Scientific paper

10.1088/1751-8113/40/5/F02

The Korteweg-de Vries equation u_t+uu_x+u_{xxx}=0 is PT symmetric (invariant under space-time 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(i u_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.

Affiliated with

Also associated with

No associations

Rating

PT-Symmetric Extension of the Korteweg-de Vries Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with PT-Symmetric Extension of the Korteweg-de Vries Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PT-Symmetric Extension of the Korteweg-de Vries Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-176425