41 citations · 379 across the 77 of their papers we have counts for
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On Quasi-integrable Deformation Scheme of The KdV System
Kumar Abhinav, Partha Guha
We put forward a general approach to quasi-deform the KdV equation by deforming the corresponding Hamiltonian. Following the standard Abelianization process based on the inherent $…
Construction of the classical time crystal Lagrangians from Sisyphus dynamics and duality description with the Liénard type equation
Partha Guha, A Ghose-Choudhury
We explore the connection between the equations describing Sisyphus dynamics and the generic Liénard type or Liénard equation from the viewpoint of branched Hamiltonians. The forme…
Nonlocal transformations of the Generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems
Partha Guha, A Ghose-Choudhury
We employ the method of nonlocal generalized Sundman transformations to formulate the linearization problem for equations of the generalized Liénard type and show that they may be…
Space Curves from Nonlinear Schrödinger Solutions: A Direct Approach
Kumar Abhinav, Partha Guha
The connection between vortex filament evolution in the local induction approximation and non-linear Schrödinger (NLS) equation by Hasimoto [H. Hasimoto, J. Fluid Mechanics 51, (19…
Branched Hamiltonians and time translation symmetry breaking in equations of the Lienard type
A Ghose-Choudhury, Partha Guha
Shapere and Wilczek ( Phys. Rev. Lett. 109, 160402 and 200402 (2012)) have recently described certain singular Lagrangian systems which display spontaneous breaking of time transla…
Study of Non-Holonomic Deformations of Non-local integrable systems belonging to the Nonlinear Schrodinger family
Indranil Mukherjee, Partha Guha
The non-holonomic deformations of non-local integrable systems belonging to the Nonlinear Schrodinger family are studied using the Bi-Hamiltonian formalism as well as the Lax pair…