Stationary solitons of a three-wave model generated by Type II second-harmonic generation in quadratic media |
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| Authors: | Zhi-You Chen Yong-Li Tang |
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| Institution: | 1. Department of Mathematics, National Changhua University of Education, Changhua 500, Taiwan;2. Calculus Teaching Center, Feng Chia University, Taichung 40724, Taiwan |
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| Abstract: | In this paper, we prove the uniqueness of stationary standing wave solutions of an optical model generated by Type II Second Harmonic Generation (SHG) with behaviors tending to zero at infinity under certain conditions on parameters. In addition, we provide the same issues for the Dirichlet boundary value problems on the ball centered at the origin. A classification of solutions for radial case is also established. |
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| Keywords: | primary 35J47 35J60 secondary 35A02 Type II second harmonic generation Stationary solitons Classification of solutions |
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