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Solutions of the Two-Wave Interactions in Quadratic Nonlinear Media

Author

Listed:
  • Lazhar Bougoffa

    (Department of Mathematics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 90950, Riyadh 11623, Saudi Arabia)

  • Smail Bougouffa

    (Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 90950, Riyadh 11623, Saudi Arabia)

Abstract

In this paper, we propose a reliable treatment for studying the two-wave (symbiotic) solitons of interactions in nonlinear quadratic media. We investigate the Schauder’s fixed point theorem for proving the existence theorem. Additionally, the uniqueness solution for this system is proved. Also, a highly accurate approximate solution is presented via an iteration algorithm.

Suggested Citation

  • Lazhar Bougoffa & Smail Bougouffa, 2020. "Solutions of the Two-Wave Interactions in Quadratic Nonlinear Media," Mathematics, MDPI, vol. 8(11), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1867-:d:435074
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