Hyperbolic Tangent Ansatz Method to Space Time Fractional Modified KdV, Modified EW and Benney–Luke Equations
Keyword(s):
The space time fractional Korteweg-de Vries equation, modified Equal Width equation and Benney-Luke Equations are solved by using simple hyperbolic tangent Ansatz method. A simple compatible wave transformation in one dimension is employed to reduce the governing equations to integer ordered ODEs. Then, the ansatz approximation is used to derive exact solutions. Some illustrative examples are presented for some particular choices of parameters and derivative orders.
2018 ◽
Vol 32
(02)
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pp. 1850012
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Keyword(s):
Keyword(s):
2020 ◽
Vol 371
◽
pp. 113297
Keyword(s):
2016 ◽
Vol 273
◽
pp. 377-382
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2012 ◽
Vol 1
(2)
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pp. 101-104
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Keyword(s):
Exact solutions of the hierarchical Korteweg–de Vries equation of microstructured granular materials
2009 ◽
Vol 41
(2)
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pp. 716-726
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