Abstract The main attention is focused on the twining behaviors of the solitons for the Kraenkel–Manna–Merle system, which describes the nonlinear ultra-short wave pulse motions in saturated ferromagnetic materials. Via… Click to show full abstract
Abstract The main attention is focused on the twining behaviors of the solitons for the Kraenkel–Manna–Merle system, which describes the nonlinear ultra-short wave pulse motions in saturated ferromagnetic materials. Via the bilinear method, the one-soliton and two-soliton are constructed. There exist loop-like solitons between the magnetization and the external magnetic fields. Two types of soliton twining behaviors are observed when the solitons collide: (1) outer twines: the small soliton can twine along the inner tube of the big soliton; (2) inner twines: the small soliton can twine along the outer tube of the big soliton. Parameters controls on the solitons twines are also discussed.
               
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