Ravichandran R
@citchennai.edu.in
Associate Professor/ Physics
Chennai Institute of Technology
RESEARCH, TEACHING, or OTHER INTERESTS
General Physics and Astronomy, Condensed Matter Physics, Statistical and Nonlinear Physics, Physics and Astronomy
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
A. Muniyappan, R. Ravichandran, and K. Manikandan
Springer Science and Business Media LLC
C. Boopathy, L. Kavitha, and R. Ravichandran
Elsevier BV
T. Pavithra, R. Ravichandran, Geo Sunny, and L. Kavitha
Elsevier BV
L. Kavitha, M. Saravanan, V. Senthilkumar, R. Ravichandran, and D. Gopi
Elsevier BV
B. Srividya, L. Kavitha, R. Ravichandran, and D. Gopi
IOP Publishing
We show by an extensive method of quasi-discrete multiple-scale approximation that nonlinear multi-dimensional lattice waves subjected to intersite and external on-site potentials are found to be governed by (N + 1)-dimensional nonlinear Schrödinger (NLS) equation. In particular, the resonant mode interaction of (2+1)-dimensional NLS equation has been identified and the theory allows the inclusion of transverse effect. We apply the exponential function method to the (2+1)-dimensional NLS equation and obtain the class of soliton solutions with a purely algebraic computational method. Notably, we discuss in detail the effects of the external on-site potentials on the explicit form of the soliton solution generated recursively. Under the action of the external on-site potentials, the model presents a rich variety of oscillating multidromion patterns propagating in the system.