Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations

  title={Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations},
  author={John T. S. Keeler and Mark G. Blyth and John R. King},
  pages={532 - 561}
Solutions u(x) to the class of inhomogeneous nonlinear ordinary differential equations taking the form u″+u2=αf(x) for parameter α are studied. The problem is defined on the x line with decay of both the solution u(x) and the imposed forcing f(x) as |x| → ∞. The rate of decay of f(x) is important and has a strong influence on the structure of the solution space. Three particular forcings are examined primarily: a rectilinear top-hat, a Gaussian, and a Lorentzian, the latter two exhibiting… 


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Free surface flow over bottom topography
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Free-surface flow over bottom topography PhD Thesis University of East Anglia/Univeristy of Adelaide
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Free-surface flow over bottom topography, University of East Anglia/Univeristy of Adelaide, PhD Thesis
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