Soliton Perturbations of the Modified Korteweg de Vries Equation*

Yan JiaRen; Pan LiuXian; Zhou GuangHui

doi:10.1088/0253-6102/34/3/463

Soliton Perturbations of the Modified Korteweg de Vries Equation^*

Yan JiaRen¹, Pan LiuXian¹ and Zhou GuangHui¹

© International Academic Publishers
Communications in Theoretical Physics, Volume 34, Number 3 Citation Yan JiaRen et al 2000 Commun. Theor. Phys. 34 463 DOI 10.1088/0253-6102/34/3/463

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¹ Department of Physics, Hunan Normal University, Changsha 410081, China

Dates

Received 3 August 1999

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Abstract

The soliton perturbations of the modified Korteweg de Vries equation corresponding to different signs of the nonlinear term are studied. The first-order effects of perturbation on a soliton, namely, both the slow time-dependence of the soliton parameters and first-order corrections are derived in a direct approach based on the separation of variables.

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