Journal of Shanghai University(Natural Science Edition)
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OU Mei-ying, XUAN Qi-fei, ZHANG Da-jun
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Abstract: This paper describes an exact limit procedure by which a simple formula for the N-doublepole solution to the modified KdV equation is derived from its 2N-soliton solution in the Hirota’s form. This procedure is general and can be applied to other nonlinear evolution equations with multi-soliton solutions in the Hirota's form.
Key words: 2N-soliton solution, bilinear equation, limit procedure, N-doublepole solution, modified KdV equation
CLC Number:
O175.24
OU Mei-ying;XUAN Qi-fei;ZHANG Da-jun . Limit Solutions to Modified KdV Equation[J]. Journal of Shanghai University(Natural Science Edition).
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https://www.journal.shu.edu.cn/EN/Y2008/V14/I2/152