Traveling wavefronts for a kind of nonlinear equation with mean curvature-like operator
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O175.6

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    Abstract:

    In this paper, we study the following nonlinear equation with mean curvature-like operator$$\frac{\partial q(x,t)}{\partial t}+\frac{\partial}{\partial x}(\frac{\frac{\partial q(x,t)}{\partial x}}{\sqrt{1+(\frac{\partial q(x,t)}{\partial x})^{2}}})-g( q(x,t))=0.$$ By using the theorem of the monotone dynamical system, the existence conditions of traveling wavefronts is established.

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Cite this article as: LU Shi-Ping, KONG Fan-Chao, LI Jie. Traveling wavefronts for a kind of nonlinear equation with mean curvature-like operator [J]. J Sichuan Univ: Nat Sci Ed, 2017, 54: 693.

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History
  • Received:July 11,2015
  • Revised:September 07,2015
  • Adopted:September 15,2015
  • Online: July 31,2017
  • Published: