![]() ![]() Lindenberg, Reaction front in an a+b→c reaction-subdiffusion process, Phys. Siami, Some applications of fractional calculus in suppression of chaotic oscillations, IEEE Trans. Hilfer, Applications of Fractional Calculus in Physics, Academic Press, Orlando, 1999. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999. Bifurcation analysis and exact solutions for a class of generalized time-space fractional nonlinear Schrödinger equations. time-space fractional nonlinear Schrödinger equation,Ĭitation: Baojian Hong.Moreover, some numerical simulations of these solutions are portrayed, showing the novelty and visibility of the dynamical structure and propagation behavior of this model. Furthermore, by applying the bifurcation theory method, the periodic wave solutions and traveling wave solutions with the corresponding phase orbits are easily obtained. Some of them are found for the first time and can be degenerated to trigonometric function solutions. After utilizing the general mapping deformation method and theory of planar dynamical systems with the aid of symbolic computation, abundant new exact complex doubly periodic solutions, solitary wave solutions and rational function solutions are obtained. ![]() In this work, we focus on a class of generalized time-space fractional nonlinear Schrödinger equations arising in mathematical physics. ![]()
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