Applications of Lie Group to Some Nonlinear Equations

ISBN-13: 9783659396717 / Angielski / Miękka / 2013 / 116 str.

Bansal Anupma

Opis

Keeping in view the rich treasure and wide applicability of nonlinear equations in almost every field, we have in this book carried out the application of Lie group analysis for obtaining exact solutions to nonlinear partial differential equations. In particular, this book is devoted to a wide range of applications of continuous symmetry groups to two physically important systems i.e. the (2+1)-dimensional Calogero Degasperis equation with its variable coefficients form and the (2+1)-dimensional potential Kadomstev Petviashvili equation along its generalized form. In recent years, much attention has also been paid to equations with variable coefficients as the physical situations in which nonlinear systems arise tend to be highly idealized due to assumption of constant coefficients. This has led us to undertake the study of equations with variable coefficients and to derive the admissible forms of the coefficients along with their exact solutions. The efforts are thus concentrated on finding the symmetries, reductions and exact solutions of certain nonlinear equations by using various methods.

O autorze

Dr. Anupma is working as Assistant Professor in Department of Mathematics, DAV College for Women, Ferozepur, Punjab, India. She has teaching and research experience of more than 5 years and got various research articles published in SCI journals related to Lie group theory, Nonlinear PDEs etc.