Anjan Biswas

TL;DR: The proposed algorithm has been successfully tested on two very important evolution equations namely Fitzhugh–Nagumo equation and Sharma–Tasso–Olver equation and results are very encouraging.

TL;DR: In this paper, the NLSE Bistable Solitons Arbitrary Pulse Propagation SOLITON-SOLITON INTERACTION Introduction Mathematical Formulation Quasi-Particle Theory STOCHASTIC PERTURBATION Introduction Kerr Law Power Law Parabolic Law Dual-Power Law OPTICAL COUPLERS Introduction Twin-Core Couplers Multiple-Couplers Magneto-Optic Waveguides OPTICAL BULLETS Introduction 1 + 3 Dimensions EPILOGUE HINTS and SOLUTIONS BIBLIOGRAPH

TL;DR: In this paper, the generalized form of the nonlinear Schrodinger's equation was studied for the special cases of Kerr law, power law, parabolic law and dual-power laws.

TL;DR: In this paper, the 1-soliton solution of K (m, n ) equation with the generalized evolution term in it was obtained and the solitary wave ansatz was used to obtain the exact solution.

TL;DR: In this article, a modified Riemann-Liouville derivative and first integral method are applied for constructing exact solutions of nonlinear fractional generalized reaction duffing model and nonlinear diffusion reaction equation with quadratic and cubic nonlinearity.