Domain walls and their stability

Zlatko Jovanoski, Isaac Towers, Nadeem Ansari

Abstract


Using Jacobi elliptic functions, we find a new class of exact periodic and the associated soliton solutions for two waves co-propagating in a defocussing nonlinear medium. We show, using both linear stability analysis and numerical simulation, that these solutions are stable.

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DOI: http://dx.doi.org/10.21914/anziamj.v50i0.1468



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.