A5016556813- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Fractional Differential Equations Solutions
- Algebraic structures and combinatorial models
- Advanced Fiber Laser Technologies
- Advanced Mathematical Physics Problems
- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Cosmology and Gravitation Theories
- Ferroelectric and Piezoelectric Materials
- Black Holes and Theoretical Physics
- Numerical methods for differential equations
- Advanced Differential Equations and Dynamical Systems
- Microwave Dielectric Ceramics Synthesis
- Differential Equations and Numerical Methods
- Evolutionary Game Theory and Cooperation
- Mathematical Biology Tumor Growth
- Ocean Waves and Remote Sensing
- Nuclear Physics and Applications
- X-ray Spectroscopy and Fluorescence Analysis
- Multiferroics and related materials
- Advanced Differential Geometry Research
- Molecular spectroscopy and chirality
- COVID-19 epidemiological studies
- Geometric Analysis and Curvature Flows
University of Delhi
2016-2025
Central University of Punjab
2022-2025
Indian Institute of Technology Guwahati
2024
University of Central Punjab
2023
Bhabha Atomic Research Centre
2009-2017
Babasaheb Bhimrao Ambedkar University
2014
Rayat Bahra University
2012-2014
Thapar Institute of Engineering & Technology
2012
Indian Institute of Technology Roorkee
2010-2011
Indian Institute of Technology Indore
2011
This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with time-dependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or large straits slowly varying width and depth non-vanishing vorticity. These coefficients, (VCKP) (2+1)-dimensions, are main extensions KP equation. Applying Lie symmetry technique, we carry out infinitesimal generators, potential vector fields, various similarity reductions...
Abstract In this research article, we investigate the coupled breaking soliton (cBS) model using two distinct analytical methods, namely, Lie symmetry approach and Unified method. We start by applying group technique to cBS model, allowing us establish infinitesimals, vector fields, commutative adjoint tables, an transformation matrix. Through utilization of matrix, identify a one-dimensional optimal system subalgebras. This essential stage allows be reduced into several collections ordinary...
This present work applies the Lie group of point transformation method to construct generalized invariant solutions for (2+1)-dimensional dispersive long wave (DLW) equations under some constraints imposed on infinitesimal generators. In this connection, symmetries, vector fields and commutation relation DLW system are well established then is reduced into number nonlinear ODEs through various symmetry reductions. An optimal one dimensional subalgebras invariance algebra formed. We...
Abstract This paper investigates the new KP equation with variable coefficients of time ‘ t ’, broadly used to elucidate shallow water waves that arise in plasma physics, marine engineering, ocean nonlinear sciences, and fluid dynamics. In 2020, Wazwaz [1] proposed two extensive equations time-variable obtain several soliton solutions Painlevé test verify their integrability. light research described above, we chose one integrated multiple solitons, rogue waves, breather lumps, interaction...
The prime objective of this paper is to explore the new exact soliton solutions higher-dimensional nonlinear Fokas equation and (2+1)-dimensional breaking equations via a generalized exponential rational function (GERF) method. Many different kinds solution are obtained, all which completely novel have never been reported in literature before. dynamical behaviors some obtained also demonstrated by choice appropriate values free constants that aid understanding complex phenomena such...
This paper investigates the evolution dynamics of closed-form solutions for a new integrable nonlinear fifth-order equation with spatial and temporal dispersion which describes shallow water waves moving in two directions. Some novel computational soliton are obtained form exponential rational functions, trigonometric hyperbolic complex-soliton solutions. dynamical wave structures achieved evolutionary multi-wave solitons, double-solitons, triple-solitons, multiple breather-type Lump-type...
Abstract This research aims to investigate a generalized fifth-order nonlinear partial differential equation for the Sawada-Kotera (SK), Lax, and Caudrey-Dodd-Gibbon (CDG) equations study wave phenomena in shallow water, ion-acoustic waves plasma physics, other sciences. The Painlevé analysis is used determine integrability of equation, simplified Hirota technique applied construct multiple soliton solutions with an investigation dispersion relation phase shift equation. We utilize linear...
In this article, we aim to employ two analytical methods including, the Lie symmetry method and Jacobi elliptical solutions finder acquire exact solitary wave in various forms of (1+1)-dimensional Kawahara–KdV type equation modified equation. These models are famous that arise modeling many complex physical phenomena. At outset, have generated geometric vector fields infinitesimal generators equations. The equations reduced into ordinary differential (ODEs) using reductions. Furthermore,...
Water waves, a common natural phenomenon, have been influential in various fields, such as energy development, offshore engineering, mechanical and hydraulic engineering. To describe the shallow water waves near an ocean coast or lake, we use (1 + 1)-dimensions Boussinesq–Burgers system. By means of Lie symmetry analysis, groups infinitesimal generators are obtained for 1)-dimension For sake finding invariant solutions system, optimal one-dimensional subalgebra system is computed....