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Serguei Brazovskii and Natasha Kirova Natal 2012

Serguei Brazovskii and Natasha Kirova Natal 2012 Physics of synthetic conductors as low dimensional correlated electronic systems. Lecture 5, part 1. Solitons, the theory , l ast comments. E. 2k F. π/2a. 2k F. -π/2a. Ansatz : any term has the same structure. - The KdV eq.

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Serguei Brazovskii and Natasha Kirova Natal 2012

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  1. SergueiBrazovskii and Natasha Kirova Natal 2012 Physics of synthetic conductors as low dimensional correlated electronic systems. Lecture 5, part 1 Solitons, the theory, last comments

  2. E 2kF π/2a 2kF -π/2a

  3. Ansatz: any term has the same structure - The KdV eq.

  4. - (xU)2= U3 -C1U-C2=(U-E+)(U-E_)(U-Ebot) Single wave E+=Ebot=E0 Taking x as a time, we get a motion of a particle in the cubic single-wall potential. Array of humps given by the Weierstrass or Jacobi elliptic function Ebot E- E+ Parameters of the elliptic function regulates the array periodicity with shapes evolving from isolated humps to a simple sinusoid = CDW.

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