Soliton Radiation Web Site

This website is a vehicle for disseminating my results on solitons as particles and in particular on a description of a new type of virtual 'ghost' radiation emitted from soliton collisions.

I. Papers

• Soliton collisions and ghost particle radiation, J. Nonlinear Math. Phys. 11 (2004), No. 2, 180-198 [postscript] [pdf]
• Traveling wave solutions to the molecular laser equations, Preprint (2003). [postscript] [pdf]
• Decay of KdV solitons, SIAM J. Appl. Math. 63 (2003), No. 3, 874-888  [postscript] [pdf]
• Ghost conjectures, preprint (2001)  [html]

II. Animated GIFs of solitons and soliton decay

• KdV 1-soliton
• KdV 2-solitons
• Particle Decay of KdV 2-solitons (ghost radiation)
• Particle Decay of KdV 3-solitons (ghost radiation)
• SGE (physical form) 1-soliton
• SGE (physical form) 2-solitons
• Particle Decay of SGE (geometrical form) 2-solitons (exchange of identities)
• Live KdV Soliton Graphics (using Kraus' LiveGraphics3D)

III. Java applets of solitons and soliton radiation (written by Vishal Shah)

• KdV solitons
• Particle Decay of KdV 2-solitons

IV. Talks

• Random Matrices: 12-10-03 (Power Point)
• Solitons: From Canal Water Waves to Molecular Lasers: 5-20-03 (Power Point)
• Solitons and Nonlinear Partial Differential Equations: 4-4-02 (Power Point)
• Dynamics of Soliton Ghosts: 3-7-02 (Power Point)

This web site is maintained by: Hieu D. Nguyen, Department of Mathematics, Rowan University, Glassboro, NJ 08028.

Please email questions or comments to: nguyen@rowan.edu