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Orbital instability of standing waves for the quadratic–cubic Klein-Gordon–Schrödinger system

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Abstract

We consider the Klein-Gordon–Schrödinger system with quadratic and cubic interactions. Smooth curves of periodic- and solitary-wave solutions are obtained via the implicit function theorem. Orbital instability of such waves is then established.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Estadual de Maringá, Avenida Colombo, 5790, Maringá, PR, CEP 87020-900, Brazil

    Fábio Natali

  2. IMECC-UNICAMP, Rua Ségio Buarque de Holanda, 651, Campinas, SP, CEP 13083-859, Brazil

    Ademir Pastor

Authors
  1. Fábio Natali
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  2. Ademir Pastor
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Correspondence to Fábio Natali.

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Natali, F., Pastor, A. Orbital instability of standing waves for the quadratic–cubic Klein-Gordon–Schrödinger system. Z. Angew. Math. Phys. 66, 1341–1354 (2015). https://doi.org/10.1007/s00033-014-0467-9

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  • DOI: https://doi.org/10.1007/s00033-014-0467-9

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