What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Nonlinear system
His main research concerns Nonlinear system, Soliton, Integrable system, Quantum mechanics and Mathematical physics.
His work carried out in the field of Nonlinear system brings together such families of science as Synchronization of chaos and Mathematical analysis, Linear equation.
M. Lakshmanan has researched Soliton in several fields, including One-dimensional space, Gross–Pitaevskii equation, Classical mechanics and Schrödinger equation.
His Integrable system study incorporates themes from Quantum electrodynamics and Elastic collision.
His study looks at the relationship between Quantum mechanics and topics such as Continuum, which overlap with Spins and Spin system.
His Mathematical physics research integrates issues from Singularity, Boundary, Wave equation, Differential equation and Space.
His most cited work include:
- Chaos in Nonlinear Oscillators: Controlling and Synchronization (413 citations)
- Continuum spin system as an exactly solvable dynamical system (377 citations)
- Nonlinear Dynamics: Integrability, Chaos and Patterns (257 citations)
What are the main themes of his work throughout his whole career to date?
M. Lakshmanan mainly focuses on Nonlinear system, Mathematical physics, Integrable system, Mathematical analysis and Quantum mechanics.
Nonlinear system is a subfield of Control theory that he studies.
The concepts of his Mathematical physics study are interwoven with issues in Symmetry, Nonlinear Schrödinger equation, Homogeneous space, Singularity and Hamiltonian.
The study incorporates disciplines such as Soliton and Ode in addition to Integrable system.
His study in Soliton is interdisciplinary in nature, drawing from both Elastic collision, Spin-½, One-dimensional space and Schrödinger equation.
His Chaotic research incorporates themes from Topology, Synchronization of chaos, Synchronization and Bifurcation.
He most often published in these fields:
- Nonlinear system (33.58%)
- Mathematical physics (20.22%)
- Integrable system (20.04%)
What were the highlights of his more recent work (between 2016-2021)?
- Nonlinear system (33.58%)
- Mathematical physics (20.22%)
- Oscillation (3.53%)
In recent papers he was focusing on the following fields of study:
M. Lakshmanan focuses on Nonlinear system, Mathematical physics, Oscillation, Soliton and Quantum mechanics.
M. Lakshmanan combines subjects such as Type, Statistical physics, Optics and Schrödinger's cat with his study of Nonlinear system.
His work focuses on many connections between Mathematical physics and other disciplines, such as Noether's theorem, that overlap with his field of interest in Physical system and Scalar field.
His work on Manakov system as part of general Soliton research is frequently linked to Parametric statistics, thereby connecting diverse disciplines of science.
His Manakov system research incorporates themes from Energy sharing and Classical mechanics.
His work on Cluster, Exponential growth and Cluster state as part of general Quantum mechanics study is frequently linked to Chimera, therefore connecting diverse disciplines of science.
Between 2016 and 2021, his most popular works were:
- Chimera states in two-dimensional networks of locally coupled oscillators (44 citations)
- Distinct collective states due to trade-off between attractive and repulsive couplings (28 citations)
- Nonstandard bilinearization of PT-invariant nonlocal nonlinear Schrödinger equation: Bright soliton solutions (26 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Nonlinear system
M. Lakshmanan mainly investigates Nonlinear system, Quantum mechanics, Soliton, Oscillation and Manakov system.
His study in Nonlinear system is interdisciplinary in nature, drawing from both Optics, Attractor, Invariant, Statistical physics and Integrable system.
His works in Cluster state and Bifurcation are all subjects of inquiry into Quantum mechanics.
His Soliton research is multidisciplinary, incorporating elements of Critical power, Coupling length, Degenerate energy levels and Mathematical physics.
His work carried out in the field of Mathematical physics brings together such families of science as Complex conjugate, Nonlinear Schrödinger equation and Parity.
His Manakov system research incorporates elements of Energy sharing and Classical mechanics.
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