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Multiple solutions of a nonlinear boundary value problem
Published online by Cambridge University Press: 14 November 2011
Synopsis
We consider a system of nonlinear differential equations derived from a model for the self-trapping of light. We prove that there is a parameter range for which there is a fundamental mode solution. Further, given any positive integer N, there also exists a parameter range over which the boundary value problem has N solutions. The first of these is a fundamental mode solution while the next N — 1 solutions represent additional modes.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 113 , Issue 3-4 , 1989 , pp. 191 - 209
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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