A. A. Abdumalikov

Publications (5)1.73 Total impact

• Source

  Available from: Fatkhulla Abdullaev

  Article: Modulational instability of matter waves under strong nonlinearity management

  F. Kh. Abdullaev, A. A. Abdumalikov, R. M. Galimzyanov
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  ABSTRACT: We study modulational instability of matter-waves in Bose-Einstein condensates (BEC) under strong temporal nonlinearity-management. Both BEC in an optical lattice and homogeneous BEC are considered in the framework of the Gross-Pitaevskii equation, averaged over rapid time modulations. For a BEC in an optical lattice, it is shown that the loop formed on a dispersion curve undergoes transformation due to the nonlinearity-management. A critical strength for the nonlinearity-management strength is obtained that changes the character of instability of an attractive condensate. MI is shown to occur below(above) the threshold for the positive (negative) effective mass. The enhancement of number of atoms in the nonlinearity-managed gap soliton is revealed.
  01/2009;
• Article: Evolution of a randomly modulated breather in a nonlinear medium

  F. Kh. Abdullaev, A. A. Abdumalikov
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  ABSTRACT: The evolution of a randomly modulated sine-Gordon breather in a nonlinear medium is studied theoretically. The initial wave field is affected by multiplicative noise. For breather amplitude and velocity, the probability distribution function is determined by means of the inverse scattering transform and the method of cumulants. The distributions are shown to be non-Gaussian. The mean and the most probable values of the breather amplitude and velocity are calculated.
  Technical Physics 05/2000; 45(6):683-686. · 0.50 Impact Factor
• Article: Dynamic structural form-factor of quasi-one-dimensional ferroelectrics with random impurities

  F. Kh. Abdullaev, A. A. Abdumalikov, B. A. Umarov
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  ABSTRACT: We consider a one-dimensional model of displacive structural phase transitions with random temperature-type impurities. The modification to the central peak is calculated. It is shown that random-temperature impurities lead to a divergence in the central peak intensity. We find good agreement between our results and the experimental temperature dependence of the central peak.
  Russian Physics Journal 03/1988; 31(4):307-311. · 0.41 Impact Factor
• Article: Solitons in a deformed ferromagnet with anisotropy of the easy plane type

  F. Kh. Abdullaev, A. A. Abdumalikov
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  ABSTRACT: Soliton dynamics is studied in a compressed ferromagnetic chain having anisotropy of the easy plane type. It is shown that there exists a soliton wave of lattice deformation which follows the magnetic soliton. Two models are considered for the connection between deformation and spins. The soliton renormalization constant is found. The effect of lattice anharmonicity is studied.
  Russian Physics Journal 10/1983; 26(11):989-993. · 0.41 Impact Factor
• Article: Solitons in stochastic molecular chains

  F. Kh. Abdullaev, A. A. Abdumalikov, A. S. Rakhmatov
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  ABSTRACT: The dynamics of solitary collective excitations in one-dimensional molecular crystals under the action of stochastic perturbations is studied. An equation is derived for the mean field of nonlinear collective excitations a(x, t) and deformation of the lattice (x, t). The law describing the decay of collective excitations is obtained.
  Russian Physics Journal 11/1981; 24(12):1082-1086. · 0.41 Impact Factor