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
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
The Lax pair of the mixed Ablowitz-Kap-Newell-Segur (AKNS) system is obtained from compatibility condition.Hirotas bilinear form is derived by some dependent va
Classically energetically inaccessible parts of energy eigenfunctions in configuration space are studied by making use of a generalization of Brillouin-Wigner p
For a relativistic Hamiltonian system, two new types of the Lie symmetries and conservation laws are given under infinitesimal transformations of groups. On the
A Maple package, named PLtest, is presented to study whether or not nonlinear partial differential equations the standard WTC algorithm and the Kruskal simplifi
We study the Raman scattering of the stretching band from liquid water under pressure up to 6kbar at 290 K.The result shows that the (v1)max intensity decreases
A kind of modified Nizhnik-Novikov-Veselov equation is investigated via the Darboux transformation and some soliton solutions are constructed. The property of e
Darboux transformation (DT) is developed to systematically find variable separation solutions for the NizhnikNovikov-Veselov equation. Starting from a seed solu
We present an efficient approach to study the spectra and eigenstates for the model describing six multiphoton processes in the presence of bosonic modes withou