1-bob. Nochiziqli Shredinger tenglamasini yechish usullar

1-bob. Nochiziqli Shredinger tenglamasini yechish usullar
1. Hirota usuli
https://www.diva-portal.org/smash/get/diva2:1568288/FULLTEXT01.pdf
Introduction to the Hirota Direct Method
2. Yaqinlashishis usullari (G’/G)
Sheng Zhang, Jin-Mei Ba, Ying-Na Sun, and Ling Dong // A Generalized (G·/G)-Expansion Method for the Nonlinear Schr ̈odingerEquation with Variable Coefficients
https://www.researchgate.net/publication/279585982_A_Generalized_G'G-Expansion_Method_for_the_Nonlinear_Schrodinger_Equation_with_Variable_Coefficients
3. Teskari masala usuli.
Kaup and Newell 1978, Zhou and Huang 2007,
Prinari et al. 2006; Demontis et al. 2013, 2014; Biondiniand Kovaˇciˇc 2014; Prinari 2015; Pichler and Biondini 2017
Demontis, F., Prinari, B., van der Mee, C., Vitale, F.: The inverse scattering transform for the defocusingnonlinear Schrödinger equations with nonzero boundary conditions. Stud. Appl. Math. 131, 1–40(2013)
Demontis, F., Prinari, B., van der Mee, C., Vitale, F.: The inverse scattering transform for the focusingnonlinear Schrödinger equation with asymmetric boundary conditions. J. Math. Phys. 55, 101505(2014)
(PDF) The Derivative Nonlinear Schrödinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms and N-Double-Pole Solutions. Available from: https://www.researchgate.net/publication/343035123_The_Derivative_Nonlinear_Schrodinger_Equation_with_ZeroNonzero_Boundary_Conditions_Inverse_Scattering_Transforms_and_N-Double-Pole_Solutions [accessed Apr 27 2022].
Kaup, D.J., Newell, A.C.: An exact solution for a derivative nonlinear Schrödinger equation. J. Math. Phys.19(4), 798–801 (1978)
2-bob. Juft qutbli NLSE integrallash. (DNLSE)
Teskari masala usuli.
https://www.researchgate.net/publication/343035123_The_Derivative_Nonlinear_Schrodinger_Equation_with_ZeroNonzero_Boundary_Conditions_Inverse_Scattering_Transforms_and_N-Double-Pole_Solutions
Demontis, F., Prinari, B., van der Mee, C., Vitale, F.: The inverse scattering transform for the defocusingnonlinear Schrödinger equations with nonzero boundary conditions. Stud. Appl. Math. 131, 1–40(2013)

DNLSE breather yechimi
https://www.researchgate.net/publication/343035123_The_Derivative_Nonlinear_Schrodinger_Equation_with_ZeroNonzero_Boundary_Conditions_Inverse_Scattering_Transforms_and_N-Double-Pole_Solutions
3-bob. Breather yechimlar simulatsiyasi
MATLAB.