EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS
Keyword(s):
De Vries
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The one-dimensional modified Korteweg–de Vries equation defined on a Cantor set involving the local fractional derivative is investigated in this paper. With the aid of the fractal traveling-wave transformation technology, the nondifferentiable traveling-wave solutions for the problem are discussed in detail. The obtained results are accurate and efficient for describing the fractal water wave in mathematical physics.
2000 ◽
Vol 24
(6)
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pp. 371-377
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2016 ◽
Vol 26
(8)
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pp. 084312
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Keyword(s):
2011 ◽
Vol 217
(12)
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pp. 6013-6017
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Keyword(s):
2017 ◽
Vol 42
(4)
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pp. 2175-2182
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