Bifurcations of Traveling Wave Solutions for a Modified Novikov’s Cubic Equation

• Minzhi Wei ^[1]
  1. [1] Guangxi University of Finance and Economics

     Guangxi University of Finance and Economics

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 2, 2019, págs. 667-686
• Idioma: inglés
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• Resumen

  • Exact traveling solutions for a modified Novikov’s cubic equation is considered based on the bifurcation method of dynamical systems in this paper. The two-dimensional system of modified Novikov’s cubic equation exists singular curve ϕ2+a2y2=R when R>0 and then it is proved that the corresponding traveling wave system of the modified Novikov’s cubic equation exists smooth solitary wave solutions and breaking wave solutions.