70 citations · 180 across the 13 of their papers we have counts for
13 papers
Invariant subspace method to the initial and boundary value problem of the higher dimensional nonlinear time-fractional PDEs
K. S. Priyendhu, P. Prakash, M. Lakshmanan
This paper systematically explains how to apply the invariant subspace method using variable transformation for finding the exact solutions of the (k+1)-dimensional nonlinear time-…
Quantum solvability of a nonlinear -type mass profile system: Coupling constant quantization
V. Chithiika Ruby, V. K. Chandrasekar, M. Lakshmanan
In this paper, we discuss the quantum dynamics of a nonlinear system that admits temporally localized solutions at the classical level. We consider a general ordered position-depen…
Spin-transfer torque driven localized spin excitations in the presence of field-like torque
M. Lakshmanan, R. Arun, Avadh Saxena
We study the existence of localized one-spin excitation in the Heisenberg one-dimensional ferromagnetic spin chain in the presence of perpendicular and parallel external magnetic f…
Dynamics of nondegenerate solitons in long-wave short-wave resonance interaction system
S. Stalin, R. Ramakrishnan, M. Lakshmanan
In this paper, we study the dynamics of an interesting class of vector solitons in the long wave-short wave resonance interaction (LSRI) system. The model that we consider here des…
Quantum solvability of quadratic Li'enard type nonlinear oscillators possessing maximal Lie point symmetries: An implication of arbitrariness of ordering parameters
V. Chithiika Ruby, M. Lakshmanan
In this paper, we investigate the quantum dynamics of underlying two one-dimensional quadratic Li'enard type nonlinear oscillators which are classified under the category of maxima…
On the classical and quantum dynamics of a class of nonpolynomial oscillators
V. Chithiika Ruby, M. Lakshmanan
We consider two one dimensional nonlinear oscillators, namely (i) Higgs oscillator and (ii) a -dependent nonpolynomial rational potential, where is the constant curvature of…