2006/10/15 by Avinash Khare, Avadh Saxena
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Context (archaeology) #Domain (mathematical analysis) #Domain wall (magnetism) #Field (mathematics) #High-pressure geophysics and materials #Magnetic field #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #cond-mat.stat-mech #hep-th #nlin.PS #nlin.SI
paper · pdf · doi:10.1063/1.2716202
published as J.Math.Phys.48:043302,2007 · 40 pages, no figures
arxiv created 2006/10/15 · openalex publication_date 2007/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Coupled asymmetric double well (aϕ2−bϕ3+cϕ4) one-dimensional potentials arise in the context of first order phase transitions both in condensed matter physics and field theory. Here we provide an exhaustive set of exact periodic solutions of such a coupled asymmetric model in terms of elliptic functions (domain wall arrays) and obtain single domain wall solutions in specific limits. We also calculate the energy and interaction between solitons for various solutions. Both topological (kinklike at T=Tc) and nontopological (pulselike for T≠Tc) domain wall solutions are obtained. We relate some of these solutions to domain walls in hydrogen bonded materials and also in the field theory context. As a by-product, we also obtain a new one parameter family of kink solutions of the uncoupled asymmetric double well model.