(2 + 1) dimensional Boussinesq and Kadomtsev-Petviashvili equation are investigated by employing Jacobi elliptic function expansion method in this paper. As a result, some new forms traveling wave ...
Proceedings of the National Academy of Sciences of the United States of America, Vol. 93, No. 26 (Dec. 24, 1996), pp. 15004-15008 (5 pages) In this paper, we give two infinite families of explicit ...
Abstract: A new general Jacobi elliptic function rational expansion method, which is more general and powerful than the tanh method, the sine-cosine method, the Jacobi elliptic function method and the ...
In this paper, we first establish explicit evaluations of six classes of hyperbolic sums by special values of the Gamma function by using the tools of the Fourier series expansions and the Maclaurin ...
ABSTRACT: In this work, the (G,/G)- --expansion method is proposed for constructing more general exact solutions of the (2 + 1)--dimensional Kadomtsev-Petviashvili (KP) equation and its generalized ...
The primary objective of this work is to investigate the complex dynamics of coupled dis-persionless equations formulated with the conformable derivative. Exact soliton solutions are first derived ...
of first order differential equations as a initial value problem ω i (0)∈ℝ. The analysis is based on its quadratic first integrals C ij = α i ω j (υ) 2 - α j ω i (υ) 2. When N = 3 this system ...
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