NEW PERIODIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS USING EXP-FUNCTION METHOD

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A new domain decomposition algorithm for generalized Burger’s–Huxley equation based on Chebyshev polynomials and preconditioning (2009, methodology): “Recently various powerful mathematical methods such as homotopy perturbation method [6–8], variational iteration method [9–18], Exp-function method [19,20], F-expansion method [21], and others [22,23] have been proposed to obtain exact and approximate analytic solutions for nonlinear problems in par”
Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method (2009, methodology): “[21] [22] [23] [24] [25] [26] show that this method is very effective to search for various solitary and periodic solutions of nonlinear equations.”
A multiple exp-function method for nonlinear differential equations and its application (2010, methodology): “ech-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, 16]. The crucial idea of these methods is to search for rational solutions to variable coeﬃcien”
Exp-Function Based Solution of Nonlinear Radhakrishnan, Kundu and Laskshmanan (RKL) Equation (2008, methodology): “Some illustrative examples in references [20–28] show that this method is very effective to search for various solitary and periodic solutions of nonlinear equations.”