EXISTENCE OF KINK AND UNBOUNDED TRAVELING WAVE SOLUTIONS OF THE CASIMIR EQUATION FOR THE ITO SYSTEM | Zendy

Temesgen Desta Leta | Zendy; Jibin Li | Zendy

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EXISTENCE OF KINK AND UNBOUNDED TRAVELING WAVE SOLUTIONS OF THE CASIMIR EQUATION FOR THE ITO SYSTEM

Author(s) -

Temesgen Desta Leta,

Jibin Li

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017039

Subject(s) - phase portrait , homoclinic orbit , casimir effect , mathematical analysis , sinusoidal plane wave solutions of the electromagnetic wave equation , physics , function (biology) , derivative (finance) , planar , mathematics , classical mechanics , bifurcation , quantum mechanics , electromagnetic wave equation , nonlinear system , computer graphics (images) , evolutionary biology , magnetic field , economics , financial economics , computer science , optical field , biology

This paper study the traveling wave solutions of the Casimir equation for the Ito system. Since the derivative function of the wave function is a solution of a planar dynamical system, from which the exact parametric representations of solutions and bifurcations of phase portraits can be obtained. Thus, we show that corresponding to the compacton solutions of the derivative function system, there exist uncountably infinite kink wave solutions of the wave equation. Corresponding to the positive or negative periodic solutions and homoclinic solutions of the derivative function system, there exist unbounded wave solutions of the wave function equation.

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