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
Citation: 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

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

doi: 10.3879/j.issn.1000-0887.2009.05.001
  • Received Date: 2008-08-06
  • Rev Recd Date: 2009-03-20
  • Publish Date: 2009-05-15
  • 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.
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