A sine-cosine method for handlingnonlinear wave equations

By Abdul-Majid Wazwaz. Mathematical and computer modelling, 2004

870 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bf5b007bf9165324b0f5ba3083b778263003b61b

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Citations in the corpus

An analytical method for solving exact solutions of the nonlinear Bogoyavlenskii equation and the nonlinear diffusive predator–prey system (2016, methodology): “Many powerful methods have been presented by diverse group of mathematicians and physicists such as the Sumudu transform method [5–7], the Hermite–Pade approximation method [8], the solitary wave ansatz method [9,10], the complex hyperbolic function method [11,12], ðG0=GÞ-expansion method [13–21], t”
Haar wavelet method for solving some nonlinear Parabolic equations (2010, methodology): “A variety of powerful methods, such as inverse scattering method [3], bilinear transformation [4], Backland transformation, a bilinear form [4], the tanh-sech method [5–7], extended tanh method [6], sine-cosine method [8], homogeneous balance method [9], Exp-function method [10], the tanh method [11”
New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations (2020, methodology): “In recent years, several efficient methods including method of extended tanh [1, 2], tanh-coth [3, 4], Hirota’s direct [5, 6], sine-cosine [7, 8], extended direct algebraic [9, 10], extended trial approach [11, 12], Exp [-φ(ξ)]-Expansion [13, 14], a new auxiliary equation [15, 16], Jacobi elliptic a”
A multiple exp-function method for nonlinear differential equations and its application (2010, methodology): “Many solution methods have been proposed, which contain the tanh-function method [1, 2, 3], the sech-function method [4, 5, 6], the homogeneous balance method [7, 8] the extended tanh-function method [9]-[11], the sine-cosine method [12, 13], the tanh-coth method [14] and the exp-function method [15”
Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations (2006, methodology): “Therefore, approximate analytical solutions, such as Backlund transformation [1], Darboux transformation [2], Hirota's bilinear method [3], the tanh method [4,6], the sinecosine method [5,6], the homogeneous balance method [7,8], the Adomian decomposition method [9,10,11], the variational iteration ”
Construction of Different Types Analytic Solutions for the Zhiber-Shabat Equation (2020, methodology): “Various techniques have been tried to obtained analytic solutions, such as the sine–cosine method [1], extended sinh-Gordon equation expansion method [2,3], (G′/G)-expansion method [4,5], improved Bernoulli sub-equation function method [6], variational iteration algorithm-II [7–9], sub equation meth”