Chinese Journal of Quantum Electronics

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The new solutions of the variable coefficients coupling correction mKdV equations with forced items*

Taogetusang†   

  1. The College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022
  • Published:2019-05-28 Online:2019-05-14

Abstract: By two steps, construct the new complexion solutions of the variable coefficients coupling correction modified Korteweg-de Vries (VCmKdV) equations with forced items, and analysis the interaction with the solutions. Step 1, put forward some kinds of new solutions of a kind of the nonlinear ordinary differential equation. Step 2, the method combing the function transformation with a kind of nonlinear ordinary differential equation is put forward, and the new complexion solutions consisting of exponential functions, trigonometric functions and rational functions of the VCmKdV equation with forced items are constructed. These solutions conclude the complexion solutions composed of the soliton solutions and the period solutions, the two soliton solutions and the two period solutions.