Dynamical invariants for time-dependent real and complex Hamiltonian systems

N Kumar, SB Bhardwaj, V Kumar, RM Singh… - Journal of Mathematical …, 2021 - pubs.aip.org
The Struckmeier and Riedel (SR) approach is extended in real space to isolate dynamical
invariants for one-and two-dimensional time-dependent Hamiltonian systems. We further …

Complex invariants for some time-independent and time-dependent classical systems

N Kumar, SB Bhardwaj, D Bhardwaj, RM Singh… - … on Mathematical Physics, 2021 - Elsevier
We present a construction of quadratic, cubic and quartic complex invariants for one-
dimensional time-independent and time-dependent classical systems within the framework …

Analytical solutions fractional order partial differential equations arising in fluid dynamics

S Behera, JSP Virdi - Applied Mathematics-A Journal of Chinese …, 2024 - Springer
This article describes the solution procedure of the fractional Pade-II equation and
generalized Zakharov equation (GSEs) using the sine-cosine method. Pade-II is an …

Complex dynamical invariant for a PT-symmetric Hamiltonian system in higher dimensions

SB Bhardwaj, RM Singh, K Sharma - Chinese Journal of Physics, 2017 - Elsevier
With a view to get further insight into the integrability of a dynamical system, we investigate
the complex invariant for a three-dimensional Hamiltonian system using the extended …

Classical invariants for non-Hermitian anharmonic potentials

RM Singh, SB Bhardwaj, K Sharma… - Canadian Journal of …, 2020 - cdnsciencepub.com
Keeping in view the importance of complex dynamical systems, we investigate the classical
invariants for some non-Hermitian anharmonic potentials in one dimension. For this …

Search of exact invariants for PT and non-PT-symmetric complex Hamiltonian systems

JS Virdi - Applied Mathematics and Computation, 2013 - Elsevier
We build exact dynamical invariants corresponding to PT-symmetric (Parity and Time
reversal) and non-PT-symmetric complex Hamiltonian systems in two dimensions, in order …

Complex Invariants Corresponding Non-hermitian -Symmetric Hamiltonian

JS Virdi - International Conference on Nonlinear Dynamics and …, 2024 - Springer
In this work, we build exact dynamical invariants for complex Hamiltonian systems. Our aim
is to extract an further understanding into the aspects of a dynamical system, we build here …

Invariants in 3D for Classical Superintegrable Systems in Complex Phase Space

JS Virdi, SC Mishra - Discontinuity, Nonlinearity, and …, 2012 - lhscientificpublishing.com
Physical dynamical systems in higher dimensions are always interesting. In this context we
present here the possibility of its three-dimensional complex dynamical invariant in …

Discontinuity, Nonlinearity, and Complexity

M Model - Discontinuity, Nonlinearity, and Complexity, 2018 - books.google.com
A comet may be defined as a object formed by rock, dust and water ice and which
undergoes the action of the gravitational field of Sun. In such objects it is usual the presence …

[引用][C] Lie Algebraic Approach and Complex Invariant Coupled Oscillator Systems

JS Virdi - 2013