TY - JOUR T1 - On a High Order Spin Wave System with a Nonlinear Free Term JO - Journal of Partial Differential Equations VL - 1 SP - 80 EP - 96 PY - 2006 DA - 2006/02 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5321.html KW - Spin wave KW - high order system KW - degenerate parabolic equations KW - existence of solution AB - In this paper, we deduct a new spin wave model in lattices, which is a nonlinear high order degenerate parabolic system with a nonlinear free term. In a further theoretical study, by using a parameter ∈ approximation, the existence of a weak solution has been obtained.