Bistability and uniqueness of solutions in the problem of second harmonic generation of femtosecond pulses (Q1395245)
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scientific article; zbMATH DE number 1940626
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bistability and uniqueness of solutions in the problem of second harmonic generation of femtosecond pulses |
scientific article; zbMATH DE number 1940626 |
Statements
Bistability and uniqueness of solutions in the problem of second harmonic generation of femtosecond pulses (English)
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1 July 2003
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The authors show that the system of two nonlinear Schrödinger equations with quadratic and cubic nonlinear terms (that governs second harmonic generation of femtosecond pulses) to admit several solutions. The invariants of the problem are used to find solutions to the problem in the long-pulse approximation, and their stability is analyzed.
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nonlinear Schrödinger equations
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femtosecond pulses
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laser
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long-pulse approximation
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uniqueness
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stability
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0.8791623
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0.87083095
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0.86827636
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0.86550707
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0.85986185
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0.84681165
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0.8397934
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