Chinese Journal of Quantum Electronics

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New soliton-like solutions of (3+1)-dimensional Burgers equation with variable coefficients

Taogetusang   

  1. College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China
  • Published:2017-09-28 Online:2019-06-13

Abstract: The method combing the function transformation and the second order homogeneous linear ordinary differential equation with constant coefficients is proposed. With the help of symbolic calculation system Mathematica, the new soliton-like solutions of (3+1) dimensional Burgers equation with variable coefficients are constructed, which consists of the exponential function, trigonometric function and rational function.

Key words: second order homogeneous linear ordinary differential equation with constant coefficients, (3+1)-dimensional Burgers equation with variable coefficients, new soliton-like solutions