Investigation of Interaction Solutions for Modified Korteweg-de Vries Equation by Consistent Riccati Expansion Method
Keyword(s):
De Vries
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A consistent Riccati expansion (CRE) method is proposed for obtaining interaction solutions to the modified Korteweg-de Vries (mKdV) equation. Using the CRE method, it is shown that interaction solutions such as the soliton-tangent (or soliton-cotangent) wave cannot be constructed for the mKdV equation. More importantly, exact soliton-cnoidal periodic wave interaction solutions are presented. While soliton-cnoidal interaction solutions were found to degenerate to special resonant soliton solutions for the values of modulus (n) closer to one (upper bound of modulus) in the Jacobi elliptic function, a normal kink-shaped soliton was observed for values of n closer to zero (lower bound).
Keyword(s):
2018 ◽
Vol 32
(02)
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pp. 1850012
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Keyword(s):
2019 ◽
Vol 33
(27)
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pp. 1950319
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2005 ◽
Vol 60
(4)
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pp. 221-228
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2017 ◽
Vol 73
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pp. 136-142
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Keyword(s):