The Lagrangian Approach to Nonlinear Wave Propagation

  • J. M. Arnold
Part of the NATO ASI Series book series (NSSB, volume 247)


The increasing importance of nonlinear phenomena in optics makes it essential that a theoretical framework should be developed having sufficient generality to encompass the full range of nonlinear phenomena under investigation, yet which is sufficently flexible to enable analytical calculation of the basic phenomena to be realistic. Nonlinear optics, by definition, involves nonlinear partial differential equations. In particular, Maxwell’s equations are coupled to a Schrödinger equation via a nonlinear polarisation. The wide range of Hamiltonians which can appear in the Schrödinger equation dictates the generality required of the theoretical methods.


Trial Function Nonlinear Partial Differential Equation SchrOdinger Equation Nonlinear SchrOdinger Equation Nonlinear Wave Propagation 
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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • J. M. Arnold
    • 1
  1. 1.Department of Electronics and Electrical EngineeringUniversity of GlasgowGlasgowScotland

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