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A review of the multiple scale and reductive perturbation methods for deriving uncoupled nonlinear evolution equations

  • Published:1985-01 Issue:1 Volume:7 Page:25-42
  • ISSN:0165-2125
  • Container-title:Wave Motion
  • language:en
  • Short-container-title:Wave Motion

Author:

Frenzen C.L.,Kevorkian J.

Publisher

Elsevier BV

Subject

General Physics and Astronomy,Applied Mathematics,Modeling and Simulation,Computational Mathematics

Reference40 articles.

1. The Korteweg-de Vries equation: a historical essay;Miles;J. Fluid Mech.,1981

2. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves;Korteweg;Phil. Mag.,1895

3. Solitons and the Inverse Scattering Transform;Ablowitz;SIAM,1981

4. Spectral Transforms and Solitons; Tools to Solve and Investigate Nonlinear Evolution Equations;Calogero,1981

5. The Inverse Scattering Transformation and the Theory of Solitons;Eckhaus,1981

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3. Periodic structures described by the perturbed Burgers–Korteweg–de Vries equation;International Journal of Non-Linear Mechanics;2015-06

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