Solitons and other solutions to the nonlinear Bogoyavlenskii equations using the generalized Riccati equation mapping method
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DOI: 10.1007/s11082-017-1195-0
Abstract: Recently, the authors of the article (Zahran and khater in Appl Math Model 40:1769–1775, 2016) have applied the modified extended tanh-function method to the nonlinear Bogoyavlenskii equations and found very few special solutions. In our… read more here.
Keywords: mapping method; equation mapping; bogoyavlenskii equations; generalized riccati ... See more keywords
A note on “Envelope periodic solutions for a discrete network with the Jacobi elliptic functions and the alternative (G′/G)-expansion method including the generalized Riccati equation”
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DOI: 10.1140/epjp/s13360-020-00715-y
Abstract: Employing Jacobi elliptic functions and the so-called alternative ( $$ G^{\prime}/G $$ )-expansion method including the generalized Riccati equation, Tala-Tebue et al. (Eur Phys J Plus 129:136, 2014) derived exact solutions for a discrete nonlinear… read more here.
Keywords: expansion method; method including; including generalized; generalized riccati ... See more keywords
Derivation of the system of generalized Riccati equations from the system of evolution equations
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DOI: 10.1142/s1793557117500814
Abstract: The method of transformation of a linear system of evolution equations into the system of Riccati-type equations is elaborated. It is shown that the system of generalized Riccati equations is governed by the characteristic polynomial… read more here.
Keywords: system; system evolution; riccati equations; evolution equations ... See more keywords