Solitary solutions of some nonlinear evolution equations

  title={Solitary solutions of some nonlinear evolution equations},
  author={Alfred Huber},
  journal={Applied Mathematics and Computation},
In this paper, the traveling wave reduction combined with the homogeneous balance method (HBM) is used to find new exact solutions by using less-studied nonlinear partial differential equations (nPDG) of higher order. The usual starting point is a special transformation converting the nPDG in its two variables x and t into an nonlinear ordinary differential equation (nODE) in the single variable n. Using the hyperbolic tangent method, new exact solutions for the three nPDGs are studied. The new… CONTINUE READING

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