Lakhveer Kaur

Bio: Lakhveer Kaur is an academic researcher from Jaypee Institute of Information Technology. The author has contributed to research in topics: Soliton & Nonlinear system. The author has an hindex of 14, co-authored 35 publications receiving 573 citations. Previous affiliations of Lakhveer Kaur include Thapar University.

Dynamical analysis of lump solutions for (3 + 1) dimensional generalized KP–Boussinesq equation and Its dimensionally reduced equations

Abstract: This paper analyzes a new form of the (3 + 1) dimensional generalized Kadomtsev–Petviashvili (KP)–Boussinesq equation for exploring lump solutions by making use of its Hirota bilinear form. The sufficient and necessary conditions for assuring analyticity, positiveness and rational localization of the solutions are developed in a uniform manner. Furthermore, the dimensionally reduced new form of the (3 + 1) dimensional generalized KP–Boussinesq equation has been also considered to establish lump solutions with free parameters, which play a vital role in influencing and controlling the phase shifts, propagation directions, shapes and energy distributions for these solutions. We have depicted the profile characteristics of extracted solutions by presenting some density plots, three-dimensional plots and two-dimensional plots for particular values of the free parameters involved.

New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions

Abstract: In the present course of study, we examine a family of Boussinesq equations of distinct structures and dimensions. We investigate the complete integrability of these equations via Painleve test. Real and complex multiple soliton solutions, for each considered model, are derived by mode of simplified Hirota’s method. Moreover, exponential expansion method has been employed to each equation, resulting into soliton solutions possessing rich spatial structure due to the presence of abundant arbitrary constants.

Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation

Abstract: In present work, new form of generalized fifth-order nonlinear integrable equation has been investigated by locating movable critical points with aid of Painleve analysis and it has been found that this equation passes Painleve test for $$\alpha =\beta $$ which implies affirmation toward the complete integrability. Lie symmetry analysis is implemented to obtain the infinitesimals of the group of transformations of underlying equation, which has been further pre-owned to furnish reduced ordinary differential equations. These are then used to establish new abundant exact group-invariant solutions involving various arbitrary constants in a uniform manner.

Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized G′G-expansion method

Abstract: In this paper, variable coefficients Kawahara equation (VCKE) and variable coefficients modified Kawahara equation (VCMKE), which arise in modeling of various physical phenomena, are studied by Lie group analysis. The similarity reductions and exact solutions are derived by determining the complete sets of point symmetries of these equations. Moreover, some exact analytic solutions are considered by the power series method. Further, a generalized -expansion method is applied to VCKE and VCMKE for constructing some new exact solutions. As a result, hyperbolic function solutions, trigonometric function solutions and some rational function solutions with parameters are furnished. Copyright © 2012 John Wiley & Sons, Ltd.

An Introduction to the Study of Stellar Structure

Abstract: EDDINGTON'S “Internal Constitution of the Stars” was published in 1926 and gives what now ranks as a classical account of his own researches and of the general state of the theory at that time. Since then, a tremendous amount of work has appeared. Much of it has to do with the construction of stellar models with different equations of state applying in different zones. Other parts deal with the effects of varying chemical composition, with pulsation and tidal and rotational distortion of stars, and with the precise relations between the interior and the atmosphere of a star. The striking feature of all this work is that so much can be done without assuming any particular mechanism of stellar energy-generation. Only such very comprehensive assumptions are made about the distribution and behaviour of the energy sources that we may expect future knowledge of their mechanism to lead mainly to more detailed results within the framework of the existing general theory. An Introduction to the Study of Stellar Structure By S. Chandrasekhar. (Astrophysical Monographs sponsored by The Astrophysical Journal.) Pp. ix+509. (Chicago: University of Chicago Press; London: Cambridge University Press, 1939.) 50s. net.

Similarity and Dimensional Methods in Mechanics

Abstract: By L I Sedov London: Cleaver-Hume Press Ltd Pp xvi + 363 Price 105s This is really two separate books within the same pair of covers First of all Chapters 1-3, some 145 pages, are devoted to the discussion of similarity and dimensional, methods and their application to a variety of problems in mechanics and fluid mechanics

Introduction to the Theory of Relativity

Abstract: THE number of systematic treatises on relativity is not unduly large. This is partly because, since the first few years after Einstein's announcement of the 'general' theory in 1917, it has undergone no fundamental development, and partly because the early expositions were so good. One cannot forbear mentioning those of Eddington, von Laue, Pauli, and Weyl. But these were addressed mainly to professionals, and, in spite of subsequent accounts from various points of view, there is still room for a plain text-book suitable for undergraduates reading relativity as a special subject, or for research students needing a working knowledge of it. Prof. Bergmann's book is designed to meet such requirements. Introduction to the Theory of Relativity By Prof. Peter Gabriel Bergmann. (Prentice-Hall Physics Series.) Pp. xvi + 287. (New York: Prentice-Hall, Inc., 1942.) 4.50 dollars.