Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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COMPLETELY INTEGRABLE COUPLED POTENTIAL KDV EQUATIONS

  • Received : 2010.04.09
  • Accepted : 2010.07.21
  • Published : 2011.05.30
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Abstract

We make use of the simplified Hirota's bilinear method with computer symbolic computation to study a variety of coupled potential KdV (pKdV) equations. Each coupled equation is completely integrable and gives multiple soliton solutions and multiple singular soliton solutions. The phase shifts for all coupled pKdV equations are identical whereas the coefficients of the obtained solitons are not identical. The four coupled pKdV equations are resonance free.

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References

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