Reduction (mathematics)

Physics

Mathematical analysis

Nonlinear system

Political science

Geometry

Diversity (politics)

Applied mathematics

Evolution equation

Mathematics

Quantum mechanics

Computers & Mathematics with Applications

In this paper, a (3+1)-dimensional nonlinear evolution equation and its reduction is studied by use of the Hirota bilinear method and the test function method. With symbolic computation, diversity of exact solutions is obtained by solving the under-determined nonlinear system of algebraic equations for the associated parameters. Finally, analysis and graphical simulation are given to reveal the propagation and dynamical behavior of the solutions.

Diversity of exact solutions to a (3+1)-dimensional nonlinear evolution equation and its reduction