Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients
Keyword(s):
De Vries
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AbstractIn this paper, Hirota’s bilinear method is extended to a new modified Kortweg–de Vries (mKdV) hierarchy with time-dependent coefficients. To begin with, we give a bilinear form of the mKdV hierarchy. Based on the bilinear form, we then obtain one-soliton, two-soliton and three-soliton solutions of the mKdV hierarchy. Finally, a uniform formula for the explicit N-soliton solution of the mKdV hierarchy is summarized. It is graphically shown that the obtained soliton solutions with time-dependent functions possess time-varying velocities in the process of propagation.
2009 ◽
Vol 2009
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pp. 1-11
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Keyword(s):
2021 ◽
2017 ◽
Vol 73
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pp. 43-49
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2009 ◽
Vol 23
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pp. 1771-1780
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2009 ◽
Vol 23
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pp. 5003-5015
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2012 ◽
Vol 26
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pp. 1250072
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2010 ◽
Vol 24
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pp. 1023-1032
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2010 ◽
Vol 19
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pp. 145-151
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