A numerical study of the light bullets interaction in the (2+1) sine-gordon equation

Journal of Nonlinear Science

Volumn 15, Issue 1, 2005, Pages 11-25

  Povich, T ^a   Xin, J ^b  

^a UNITED STATES MILITARY ACADEMY   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84867944603     PISSN: 09388974     EISSN: 14321467     Source Type: Journal    
DOI: 10.1007/s00332-003-0588-y     Document Type: Article

References (10)

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2. P. Goorjian, Y. Silberberg, Numerical simulations of light bullets using the full-vector timedependent nonlinear Maxwell equations, Journal of the Optical Society of AmericaB(Optical Physics) 14, no. 11 (1997), pp. 3253-3260.
3. R. McLeod, K.Wagner, S. Blair, (3+1)-dimensional optical soliton dragging logic, Physical Review A 52, no. 4 (1995), pp. 3254-3278.
4. A. Minzoni, N. Smyth, A. Worthy, Pulse evolution for a two-dimensional Sine-Gordon equation, Physica D 159 (2001), pp. 101-123.
5. A. Minzoni, N. Smyth, A. Worthy, Evolution of two-dimensional standing and traveling breather solutions for the Sine-Gordon equation, Physica D 189 (2004), pp. 167-187.
6. A. Newell, J. Moloney, Nonlinear Optics, Addison-Wesley, Redwood City, CA, 1991.
7. R. D. Pierce, C. E. Wayne, On the validity of mean-field amplitude equations for counterpropagating wavetrains, Nonlinearity 8 (1995), pp. 769-779.
8. J. Strikwerda, Finite Difference Schemes and PDE,Wadsworth and Brooks, Cole Adv. Books and Software, 1989.
9. J. Xin, Modeling light bullets with the two-dimensional sine-Gordon equation, Physica D, 135 (2000), pp. 345-368.
10. J. Xin, J.-M. Yuan, A numerical study of a perturbed critical nonlinear Schrodinger equation arising from the (2+1) sine-Gordon equation, in preparation.