80 citations · 86 across the 4 of their papers we have counts for
5 papers
The sine-Gordon equation on time scales
Jan L. Cieśliński, Tomasz Nikiciuk, Kamil Waśkiewicz
We formulate and discuss integrable analogue of the sine-Gordon equation on arbitrary time scales. This unification contains the sine-Gordon equation, discrete sine-Gordon equation…
A direct approach to the construction of standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
Jan L. Cieslinski, Tomasz Nikiciuk
We present a direct approach to the construction of Lagrangians for a large class of one-dimensional dynamical systems with a simple dependence (monomial or polynomial) on the velo…
High spin particles with spin-mass coupling II
Marcin Daszkiewicz, Zbigniew Hasiewicz, Tomasz Nikiciuk +1
The classical and quantum model of high spin particles with spin-mass coupling is presented in this paper. The mass spectrum of the model is symmetric with respect to particle-anti…
Time - dependent Ginzburg - Landau approach and application to superconductivity
J. A. Zagrodzinski, T. Nikiciuk
A time dependent generalization of the Ginzburg -Landau Lagrangian is proposed. It contains two terms determining the time dependence and the four arbitrary scalar functions. Relev…
Multiple addition theorem for discrete and continuous nonlinear problems
J. A. Zagrodzinski, T. Nikiciuk
The addition relation for the Riemann theta functions and for its limits, which lead to the appearance of exponential functions in soliton type equations is discussed. The presente…