Dimensional Nizhnik Novikov Research Articles

English

In this article, the extended coupled sub-equations expansion method was used to construct a series of double soliton-like solutions, double triangular function solitons and complexiton solitons for some nonlinear partial differential equations (NLPDEs) via the (2+1)-dimensional breaking soliton equations and the (2+1)-dimensional Nizhnik-Novikov-Vesselov equations. With the help of symbolic computation as Maple, we obtain many types of double soliton solutions as various combinations of trigonometric periodic function and hyperbolic function, various combinations of trigonometric periodic function and rational function, various combination of hyperbolic function and rational function. Key words: The extended coupled sub-equations expansion method, double soliton-like solutions, double triangular function solutions, complexiton soliton solutions, the (2+1)-dimensional breaking soliton equations, the (2+1)-dimensional Nizhnik-Novikov- Vesselov equations.

Exact complexiton soliton solutions for nonlinear partial differential equations in mathematical physics

In this article, the extended multiple Riccati equations expansion method has been used to construct a series of double soliton- like solutions, double triangular function solutions and complexiton soliton solutions for some nonlinear partial differential equations in mathematical physics via the (2+1) dimensional breaking soliton equations, (2+1) dimensional painleve integrable Burger's equations and (2+1) dimensional Nizhnik- Novikov- Vesselov equations. With the help of symbolic computation as Maple or Mathematica, we obtain many new types of complexiton soliton solutions, for example, various combination of trigonometric periodic function and hyperbolic function solutions, various combination of trigonometric periodic function and rational function solutions, various combination of hyperbolic function and rational function solutions. Key words: The extended multiple Riccati equations expansion method, double soliton-like solutions, double triangular function solutions, complexiton soliton solutions, the (2+1) dimensional breaking soliton equations, the (2+1) dimensional painleve integrable Burger's equations, the (2+1)-dimensional Nizhnik-Novikov- Vesselov equations.

Soliton Solutions and Interaction Between a Line Soliton and a y-Periodic Soliton in Generalized (2+1)-Dimensional Nizhnik-Novikov- Veselov Equation**The project supported by National Natural Science Foundation of China under Grant No. 10272072 and the Science Research Foundation of Huzhou Teachers College under Grant No. 200406

Using the variable separation approach, many types of exact solutions of the generalized (2+1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study the interaction between a line soliton and a -periodic soliton.