Theodoros P Horikis 2009 J. Phys. A: Math. Theor. 42 442004 doi:10.1088/1751-8113/42/44/442004
The short-pulse equation and associated constraints
FREE ARTICLETheodoros P Horikis
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The short-pulse equation (SPE) is considered as an initial boundary value problem. It is found that the solutions of the SPE must satisfy an integral relation otherwise the temporal derivative exhibits discontinuities. This integral relation is not necessary for a solution to exist. An infinite number of such constraints can be dynamically generated by the evolution equation.
- PACS
- MSC
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78A60 Lasers, masers, optical bistability, nonlinear optics (See also 81V80)
37K40 Soliton theory, asymptotic behavior of solutions
35Q51 Solitons (See also 37K40)
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
- Subjects
- Dates
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Issue 44 (6 November 2009)
Received 31 August 2009, in final form 23 September 2009
Published 9 October 2009
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The short-pulse equation and associated constraints
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