Bifurcations of Travelling Wave Solutions for a Coupled Nonlinear Wave System

ZHANG Ji-xiang; LI Ji-bin

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ZHANG Ji-xiang, LI Ji-bin. Bifurcations of Travelling Wave Solutions for a Coupled Nonlinear Wave System[J]. Applied Mathematics and Mechanics, 2005, 26(7): 770-778.

Citation:

ZHANG Ji-xiang, LI Ji-bin. Bifurcations of Travelling Wave Solutions for a Coupled Nonlinear Wave System[J]. Applied Mathematics and Mechanics, 2005, 26(7): 770-778.

Citation:

ZHANG Ji-xiang, LI Ji-bin. Bifurcations of Travelling Wave Solutions for a Coupled Nonlinear Wave System[J]. Applied Mathematics and Mechanics, 2005, 26(7): 770-778.

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Bifurcations of Travelling Wave Solutions for a Coupled Nonlinear Wave System

ZHANG Ji-xiang^1,2,
LI Ji-bin²

1.
School of Economics & Management, Southeast University, Nanjing 210096, P. R. China;

Received Date: 2003-11-21
Rev Recd Date: 2005-03-29
Publish Date: 2005-07-15

Abstract

Abstract

By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was applied to transforma kind of the coupled nolinear wave equations into three- dimension dynamical systems. Under different parametric conditions, various sufficient conditions to guarantee the existence and stability of the above so lutions are given.
- travelling wave solution,
- Hopf bifurcation,
- nonlinear wave equation

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References(7)

References

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