The Improved Riccati Equation Method and Exact Solutions to mZK Equation
2012 ◽
Vol 2012
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pp. 1-11
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Keyword(s):
We utilize the improved Riccati equation method to construct more general exact solutions to nonlinear equations. And we obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the parameters are taken as special values, the method provides not only solitary wave solutions but also periodic waves solutions. The method appears to be easier and more convenient by means of a symbolic computation system. Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics.
2012 ◽
Vol 64
(6)
◽
pp. 2084-2088
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2016 ◽
Vol 71
(8)
◽
pp. 703-713
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2012 ◽
Vol 2012
◽
pp. 1-22
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2015 ◽
Vol 3
(1)
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pp. 1-13
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2012 ◽
Vol 17
(3)
◽
pp. 369-378
◽
2004 ◽
Vol 64
(2)
◽
pp. 247-258
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