Automodulation of one-dimensional waves based on nonlinear schrödinger equation with arbitrary nonlianerity
I. V. Alimenkov

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DOI: 10.18287/0134-2452-2013-37-1-88-90.

Full text of article: Russian language.

Pages: 88-90.

Abstract:
It is found in quadratures the solution of nonlinear Schrödinger equation with arbitrary nonlinearity characterized by any function of external influence on nonlinear medium under harmonic field.

Key words:
commonnonlinear Schrödinger equation, arbitrary function of nonlinear reaction, exact solution in quadratures, solitons solutions.

Citation:
Alimenkov I.V. Automodulation of one-dimensional waves based on nonlinear schrödinger equation with arbitrary nonlianerity. Computer Optics 2013; 37(1): 88-90. DOI:10.18287/0134-2452-2013-37-1-88-90.

References:

  1. Kivshar, Y.S. Optical solitons. From Fibers to Photonic Grystals / Y.S. Kivshar, G.P. Agrawal – Moscow: “Fizmatlit” Publisher, – 2005. – 648p. – (In Russian).
  2. Takhtajan, L.A. Hamilton approach in theory of solitons / L.A. Takhtajan, L.D. Faddeev. – Moscow: “Nauka” Publisher, 1986, – 528p. – (In Russian).
  3. Alimenkov, I.V. Automodulation of one-dimensional waves based on nonlinear Shredinger equation with non kerr nonlianerity // Computer Optics. – 2009. – Vol. 33, No.3. – P. 240-242. – (in Russian).
  4. Alimenkov, I.V. Automodulation of one-dimensional waves based on nonlinear Shredinger equation with nonlianerity cubic-quintic type // Computer Optics. – 2012. – Vol. 36, No.1. – P. 34-35. – (in Russian).
  5. Rajaraman, R. Solitons and instantons in quantum field theory. – Moscow: “Mir” Publisher, 1985. – 416 p. – (In Russian).
  6. Stepanov V.V. Course of differential equations. – Moscow: “GITTL” Publisher, 1953. – 468 p. – (In Russian).
  7. Dwight, H.B. Tables of integrals and other mathematical data. – Moscow: “Nauka” Publisher, 1977. – 224 p. – (In Russian).

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