Autor: Goldstein, P. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: SECURITY in Europe : the Role of NATO after the Cold War
Współwytwórcy:: (p.w.). Komentarz
Goldstein, Walter. Redakcja
Data publikacji:: 1994
Wydawca:: London ; Washington
Tematy:: NATO a Europa polityka od 1989 r.
Bezpieczeństwo międzynarodowe polityka NATO Europa od 1989 r. recenzja
Dostawca treści:: Bibliografia CBW

Książka

Skocz do pozycji: 2.

Tytuł:: Security in Europe : the Role of NATO after the Cold War
Współwytwórcy:: (p.w.). Recenzja
Goldstein, Walter. Redakcja
Data publikacji:: 1994
Wydawca:: London ; Washington
Tematy:: Security, in Europe. The Role of NATO after the Cold War recenzja
NATO organizacja polityka recenzja
Bezpieczeństwo międzynarodowe Europa od 1990 r. recenzja
Dostawca treści:: Bibliografia CBW

Książka

Skocz do pozycji: 3.

Tytuł:: On Existence of Solitons for the Second Harmonic Equations of a Laser Beam
Autorzy:: Cao Long, V.
Goldstein, P. P.
Vu Ngoc, S.
Powiązania:: https://bibliotekanauki.pl/articles/2041595.pdf
Data publikacji:: 2004-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 42.81.Dp
Opis:: We look for conditions of existence of soliton solutions for equations governing propagation of a monochromatic laser beam coupled to its second harmonic in a nonlinear medium. The system proves to be non-integrable in the sense of Painlevé. However it is partially integrable for some values of its parameters. We further check the possibility of solving the equations by the Hirota bilinear method. The system is found to be solvable this way provided that amplitudes of both modes are equal while the complex phase of the second harmonic is equal to the double phase of the fundamental mode (moduloπ). The Hirota scheme is found to work merely for exact resonance, i.e. for the ratio of the dispersion coefficients equal to the ratio of frequencies. Finally, all these conditions may only be satisfied by single envelope travelling waves, in which the envelope has locally the shape of the Weierstrass function.
Źródło:: Acta Physica Polonica A; 2004, 106, 6; 843-852
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: On Existence of Solitons for the 3rd Harmonic of a Light Beam in Planar Waveguides
Autorzy:: Cao Long, V.
Goldstein, P. P.
Trippenbach, M.
Powiązania:: https://bibliotekanauki.pl/articles/2037293.pdf
Data publikacji:: 2004-05
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 42.81.Dp
Opis:: We consider equations governing propagation of a monochromatic laser beam coupled to its third harmonic in a nonlinear medium. The system proves to be non-integrable in the sense of Painleve. However it is partially integrable for all values of its parameters. We further check the possibility of solving the equations by the Hirota bilinear method. The system is found to be solvable this way provided that the complex phase of the third harmonics is equal to tripled phase of the fundamental mode (modulo i) and also the amplitudes of these modes are in special proportion. This result corresponds to the previously known condition of existence of the sech soliton solutions. Furthermore, the Hirota scheme is found to work only for exact resonance, i.e. for the ratio of the dispersion coefficients equal to the ratio of frequencies. Finally, all these conditions may only be satisfied for single envelope solitons of the cubic Schrödinger type.
Źródło:: Acta Physica Polonica A; 2004, 105, 5; 437-444
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Hints on the Hirota Bilinear Method
Autorzy:: Goldstein, P.
Powiązania:: https://bibliotekanauki.pl/articles/1814021.pdf
Data publikacji:: 2007-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.30.Ik
42.81.Dp
Opis:: We discuss four stages of the Hirota bilinear method, for construction of soliton solutions to partial differential equations: the proper substitution to express the equation in the bilinear variables (1), reduction of the excess degrees of freedom (2), the perturbation scheme (3), and solution of the system of equations at the successive orders of magnitude (4). For the first stage we suggest an extension of the well-known singularity analysis. In the second stage we point out the need for caution to avoid overdetermined systems. In the third one we suggest a path to proper assumptions on the orders of magnitude of the unknown functions. Finally, we summarize the question of the choice of appropriate solutions. For the expansions at the stages (1) and (3) we suggest a 'renormalization', i.e. completion of the lower order terms with higher order ones to achieve the desired form of the coefficients.
Źródło:: Acta Physica Polonica A; 2007, 112, 6; 1171-1184
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: General Solution to a Bilinear Reduction of the Higher Order Nonlinear Schrödinger Equation
Autorzy:: Goldstein, P. P.
Powiązania:: https://bibliotekanauki.pl/articles/2047168.pdf
Data publikacji:: 2006-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 42.81.Dp
Opis:: The general solution is found to a bilinear reduction of the higher order nonlinear Schrödinger equation. Except for the previously known special cases having multisoliton solutions, the solution has the form of a single envelope solitary wave or wave train for all other values of the parameters. We conjecture that the generic solution is limited to such a narrow class of functions because the bilinear system is overdetermined.
Źródło:: Acta Physica Polonica A; 2006, 110, 6; 769-775
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

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