Letters in Mathematical Physics

, Volume 6, Issue 1, pp 43–47 | Cite as

A class of nondispersive evolution equations with solitary wave solutions

  • A. Abbas
  • A. C. Bryan
  • A. E. G. Stuart


We present a class of nonlinear evolution equations possessing stable solitary wave solutions with a sech2 profile. These equations are related to the Korteweg-de Vries (KdV) and regularised longwave (RLW) equations, but, unlike the latter, are dispersion free in the linear limit.


Statistical Physic Evolution Equation Group Theory Solitary Wave Wave Solution 
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Copyright information

© D. Reidel Publishing Company 1982

Authors and Affiliations

  • A. Abbas
    • 1
  • A. C. Bryan
    • 1
  • A. E. G. Stuart
    • 1
  1. 1.Department of MathematicsThe City UniversityLondonEngland

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