Transverse instability and its long-term development for solitary waves of the (2+1)-Boussinesq equation

Details Transverse instability and its long-term development for solitary waves of the (2+1)-Boussinesq equation Transverse instability and its long-term development for solitary waves of the (2+1)-Boussinesq equation

2002-08-29

arxiv.org/abs/nlin/0208046v2

Nonlinear Sciences

Chaotic Dynamics

16 pages, 8 figures; submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.67.056626

The stability properties of line solitary wave solutions of the (2+1)-dimensional Boussinesq equation with respect to transverse perturbations and their consequences are considered. A geometric condition arising from a multi-symplectic formulation of this equation gives an explicit relation between the parameters for transverse instability when the transverse wavenumber is small. The Evans function is then computed explicitly, giving the eigenvalues for transverse instability for all transverse wavenumbers. To determine the nonlinear and long time implications of transverse instability, numerical simulations are performed using pseudospectral discretization. The numerics confirm the analytic results, and in all cases studied, transverse instability leads to collapse.

Affiliated with

Also associated with

No associations

Rating

Transverse instability and its long-term development for solitary waves of the (2+1)-Boussinesq 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 Transverse instability and its long-term development for solitary waves of the (2+1)-Boussinesq equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transverse instability and its long-term development for solitary waves of the (2+1)-Boussinesq equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-531056