16 1 Backlund transformations a Write down the Backlund transformations for the SineGordon model b Taking as initial solution of the equation of motion 0, determine the new solution (z, z) and show that it coincides with the solitonic solution of the model c Iterate the procedure to determine the other classical solutions of the SineGordon model

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Question: 16.1. Backlund transformations a. Write down the Backlund transformations for the SineGordon model. b. Taking as initial solution of the equation of motion =

16.1. Backlund transformations

a. Write down the Backlund transformations for the Sine–Gordon model.

b. Taking as initial solution of the equation of motion φ = 0, determine the new solution ˆ φ(z, ¯ z) and show that it coincides with the solitonic solution of the model.

c. Iterate the procedure to determine the other classical solutions of the Sine–Gordon model.

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