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Vol.1, 2011
 Soliton Solutions for Anti-cubic Nonlinearity using Three Analytical Approaches Muhammad Ramzan,Yu-Ming Chu,Hamood ur Rehman,Muhammad Shoaib Saleem,Choonkil Park Keywords:Nonlinear Schrodinger equation; anti-cubic nonliearity; Modified Kudryashov method; Abstract: In this article, three constructive techniques namely, $\rm Exp_{a}$-function method, the modified Kudryashov method and the generalized tanh-method are adopted to analyze the nonlinear Schr\"{o}dinger equation having anti-cubic nonlinearity. Nonlinear Schr\"{o}dinger equation is a comprehensive model that governs wave behavior in optical fiber. Cubic-quintic nonlinear Schr\"{o}dinger equation, additionally having anti-cubic nonlinear term is investigated to construct bright, dark, kink and singular soliton solutions. The graphical representations of the soliton propagation are also demonstrated by the solutions obtained using these three techniques.