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Periodic wave solution and its stability in antiferrornagnet Ni(C 2 H 8 N 2 ) 2 NO 2 ClO, 4
Author(s) -
Liu WuMing,
Wang Heng,
Zhao Xiaopenc,
Zhou BenLian
Publication year - 1995
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221880225
Subject(s) - ansatz , hamiltonian (control theory) , mathematical physics , mathematical analysis , amplitude , mathematics , nonlinear system , partial differential equation , physics , schrödinger equation , quantum mechanics , mathematical optimization
Introducing the coherent state ansatz and the time‐dependent variational principle, two partial differential equations of motion are obtained from the Hamiltonian. Employing the method of multiple scales, these equations are reduced into the envelope function equation and the amplitude function satisfying a nonlinear Schrödinger equation is found. The periodic wave solution and analysis of its stability in the antiferromagnet Ni(C 2 H 8 N 2 ) 2 NO 2 ClO 4 is derived.