Lie Symmetry Group of the Nonisospectral Kadomtsev-Petviashvili Equation

Key words: Perturbed Coupled Nonlinear Schr¨odinger Equation; Approximate Symmetry Perturbation Method; Infinite Series Symmetry Reduction Solution.. PACS numbers: 42.81.Dp;

Based on the quantum master equation which describes the dynamical evolution of a two-level atom interacting with one mode of the quantized photon field in a cavity, we

b State Key Laboratory of Software Development Environment, Beijing, University of Aeronautics and Astronautics, Beijing 100191, China.. c Key Laboratory of Information Photonics

Recent research has claimed that the coupled KP system has an inner con- nection with matrix integrals over the orthogonal and symplectic ensembles, so the solutions might be ap-

This article aims to expose a uniqueness property of the Kadomtsev-Petviashvili (KP) and Boussinesq equations in the

That is, we will show that among the above class of nonlinear differential equa- tions, the KP and Boussinesq equations and their di- mensional reductions are the only

In this article, two powerful analytical methods called the variational iteration method (VIM) and the variational homotopy perturbation method (VHPM) are introduced to obtain the

Unlike classical techniques, the homotopy perturbation method leads to an analytical approximate and to exact solutions of the nonlinear equations easily and elegantly