Quantized representation of some nonlinear integrable evolution equations on the soliton sector - Nonlinear Sciences > Exactly Solvable and Integrable SystemsReport as inadecuate




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Abstract: The Hirota algorithm for solving several integrable nonlinear evolutionequations is suggestive of a simple quantized representation of these equationsand their soliton solutions over a Fock space of bosons or of fermions. Theclassical nonlinear wave equation becomes a nonlinear equation for an operator.The solution of this equation is constructed through the operator analog of theHirota transformation. The classical N-solitons solution is the expectationvalue of the solution operator in an N-particle state in the Fock space.



Author: Yair Zarmi

Source: https://arxiv.org/







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