Kink Wave Determined by a Parabola Solution of a Nonlinear Ordinary Differential Equation

LI Ji-bin; LI Ming; NA Jing

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(7): 789-797

LI Ji-bin, LI Ming, NA Jing. Kink Wave Determined by a Parabola Solution of a Nonlinear Ordinary Differential Equation[J]. Applied Mathematics and Mechanics, 2007, 28(7): 789-797.

Citation:

LI Ji-bin, LI Ming, NA Jing. Kink Wave Determined by a Parabola Solution of a Nonlinear Ordinary Differential Equation[J]. Applied Mathematics and Mechanics, 2007, 28(7): 789-797.

Citation:

LI Ji-bin, LI Ming, NA Jing. Kink Wave Determined by a Parabola Solution of a Nonlinear Ordinary Differential Equation[J]. Applied Mathematics and Mechanics, 2007, 28(7): 789-797.

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Kink Wave Determined by a Parabola Solution of a Nonlinear Ordinary Differential Equation

1.
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China;

Received Date: 2006-01-16
Rev Recd Date: 2007-04-04
Publish Date: 2007-07-15

Abstract

Abstract

By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations was shown. Some exact explicit parametric representations of kink wave solutions were given. Explicit parameter conditions to guarantee the existence of kink wave solutions were determined.
- kink wave solution,
- connecting orbit,
- parabola solution,
- nonlinear wave equation,
- non-linear evolution equation

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References(10)

References

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