Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations

A. Bellor\'in; J. A. Gonz\'alez; L. E. Guerrero; L. V\'azquez; M. A. Garc\'ia-\~Nustes; S. Jim\'enez

arxiv: 1607.03484 · v4 · pith:R2ECZSVHnew · submitted 2016-07-12 · 🌊 nlin.PS

Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations

J. A. Gonz\'alez , A. Bellor\'in , M. A. Garc\'ia-\~Nustes , L. E. Guerrero , S. Jim\'enez , L. V\'azquez This is my paper

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keywords inhomogeneousinternalmodessine-gordonsomearbitrarilyconditionsequations

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We prove the existence of an infinite number of internal (shape) modes of sine-Gordon solitons in the presence of some inhomogeneous long-range forces, provided some conditions are satisfied.

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Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations

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