【摘 要】
：
Based on a 0 of elliptic equation, a new algebraic method to construct a series of exact solutions for nonlinear evolution equations is proposed, meanwhile, its
【机 构】
：
Department of Computer Science, East China Normal University, Shanghai,200062
论文部分内容阅读
Based on a 0 of elliptic equation, a new algebraic method to construct a series of exact solutions for nonlinear evolution equations is proposed, meanwhile, its complete implementation TRWS in Maple is presented. The TRWS can output a series of travelling wave solutions entirely automatically, which include polynomial solutions, exponential function solutions, triangular function solutions, hyperbolic function solutions, rational function solutions, Jacobi elliptic function solutions, and Weierstrass elliptic function solutions. The effectiveness of the package is illustrated by applying it to a variety of equations. Not only are previously known solutions recovered but also new solutions and more general form of solutions are obtained.
其他文献
We consider three two-level atoms (A, B, and C) initially in the W entanglement state, then one of them, C, is injected into a high-Q cavity to make resonant in
We propose a model of weighted networks in which the structural evolution is coupled with weight dynamics.
The dissipative and decoherence properties as well as the asymptotic behaviour of the single mode electromagnetic field interacting with the time-dependent sque
高校教师是一个国家高等教育发展的人才保障,高等教育的竞争在某种程度上就是高端人才的竞争.美国高等教育发达的主要原因之一在于其灵活的高校教师体系.美国高校教师划分终
We prove that n-dimensional radial symmetric Landau-Lifshitz equation possesses at least two classes of global smooth solutions with suitable initial-boundary c
We propose a simple method to generate a practical SU(2)-Schrodinger-cat state of a single trapped-ion vibration mode and the light field state, using the metho
Generalized functional separation of variables to nonlinear diffusion equations is studied in terms of the extended group foliation method. A complete classific
A 368 water molecule structure I empty gas hydrate with possible minimum energy are calculated under high pressures by using TIP4P potential molecular dynamical
The new symmetries for a mathematical model of fast diffusion are determined. A new system method is given to search for new symmetries of differential equation