Existence and Breaking Property of Real Loop-Solutions of Two Nonlinear Wave Equations

LI Ji-bin

doi:10.3879/j.issn.1000-0887.2009.05.001

Volume 30 Issue 5

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LI Ji-bin. Existence and Breaking Property of Real Loop-Solutions of Two Nonlinear Wave Equations[J]. Applied Mathematics and Mechanics, 2009, 30(5): 505-514. doi: 10.3879/j.issn.1000-0887.2009.05.001

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Existence and Breaking Property of Real Loop-Solutions of Two Nonlinear Wave Equations

doi: 10.3879/j.issn.1000-0887.2009.05.001

LI Ji-bin^1,2

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

Received Date: 2008-08-06
Rev Recd Date: 2009-03-20
Publish Date: 2009-05-15

Abstract

Abstract

Dynamical analysis revealed that for some nonlinear wave equations, loop-and inverted loop-soliton solutions are merely visual artifacts. So called loop-soliton solution consists of three solutions which is not one real solution. Whether or not there exist some nonlinear wave equations for which there exists a/real0 loop-solution? If yes, what are their precise parametric representations of these loop traveling wave solutions? These problems are answered.
- breaking wave solution,
- loop-solution,
- no nlinear wave equation,
- planar dynamical system

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References(12)

References

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