A one-dimensional ferromagnetic chain soliton solu

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A one-dimensional ferromagnetic chain soliton solutions to improve

(7) can be written as iha = 4s (a -,) a one 2JSaa a 2) aa (1a12) a 4 (a -,) ala12, ( Cool

From now onwards, the function that the function of the subscript The subscript the partial derivative, ( Cool

of the nonlinear term a 2) aa (1al2) ferromagnetic chain in the usual soliton equations is not [1,21. We are of Equation ( Cool

of the traveling wave solutions (,£) Sad

) i (k a , (1O) I4.,, T and (1 +) +2 d + a = 0. (11). (12) 2SJaz.,., nonlinear equation (11) is a nonlinear modified Sehr6dinger equation proportional to the y's entry for correction. Equation (11), the exact solution, which soliton solutions of 6 in the arc iv h + arcsin ... 0). where 770 = 0 a vt represents t0, soliton center at o. Since a2 ~ / S ):[(+),) c. sh (-.) A y] ~. (14) which is different from the usual soliton solution (hereinafter referred to) [] of the IS. The following results are based on soliton solution (14 ) on the basis of, a (, t) of the normalization condition gives = 7 - ~-tan2. (15) Equation (14) can be written as): seczcos a y】 ~,) where Ls = Lsf (Y ), (17) is / S width, and, (1 Cool

is the US's width, and both current and future plant () = c. t, =. (19) from (16) IS easy to get a peak And for the _p, (20) here: √, (21) is the US's peak. by (12) and (15) the energy available for the IS = + Ji Mian. (22) where = 4s (a) a, (23) for the IS of the static energy, and sleep =, (24) for the IS of the effective mass. As for the US, the static energy I Pu [2] 7.: 45 (a) a iL, (25 ) and its effective mass and by (24) IS expressed as a static quality. by (9) and (16), we obtain the normalized probability amplitude for the spin, f) = ec2cosh2 (26) for the ( 19) gives the function of plant (Y), a property if Y> 0 时,[link widoczny dla zalogowanych], f (Y) s and E0 0 时, f (Y) <0 ie when . than., the greater the time, f (Y) smaller, and by (1 Cool

and (21) can be seen, J, and Ps were the smaller and larger, so by (17) and (2O) knowledge and smaller and larger, respectively, so the more stable solitons. Since y is proportional to the nonlinear interaction does not change (11) in the kinetic energy term, so the IS and the US's quality is the same.