New extended generalized Kudryashov method for solving three nonlinear partial differential equations
Keyword(s):
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger equation with anti-cubic nonlinearity, the (2+1)-dimensional Davey–Sterwatson (DS) equation and the (3+1)-dimensional modified Zakharov–Kuznetsov (mZK) equation of ion-acoustic waves in a magnetized plasma have been presented. Comparing our new results with the well-known results are given. Our results in this article emphasize that the used method gives a vast applicability for handling other nonlinear partial differential equations in mathematical physics.
2019 ◽
Vol 07
(04)
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pp. 912-920
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2014 ◽
Vol 69
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pp. 155-162
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2019 ◽
Vol 4
(2)
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pp. 85-99
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2017 ◽
Vol 25
(4)
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pp. 438-444
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2019 ◽
Vol 1300
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pp. 012059