A small time solutions for the Korteweg-de Vries equation

  title={A small time solutions for the Korteweg-de Vries equation},
  author={Selçuk Kutluay and A. Refik Bahadir and A. {\"O}zdes},
  journal={Applied Mathematics and Computation},
In this paper a heat balance integral (HBI) method is applied to the one-dimensional non-linear Korteweg±de Vries (KdV) equation prescribed by appropriate homogenous boundary conditions and a set of initial conditions to obtain its approximate analytical solutions at small times. It is shown that the HBI solutions obtained by the method may be used e€ectively at small times when the exact solution of the KdV equation is not known. Ó 2000 Elsevier Science Inc. All rights reserved. 
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