1st Edition

Self-Similarity and Beyond Exact Solutions of Nonlinear Problems

By P.L. Sachdev Copyright 2000

    Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences.
    Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out.

    Self-Similarity and Beyond presents

    Introduction. First Order Partial Differential Equations. Exact Similarity Solutions of Nonlinear PDEs. Exact Travelling Wave Solutions. Exact Linearization of Nonlinear PDEs. Nonlinearization and Embedding of Special Solutions. Asymptotic Solutions by Balancing Arguments. Series Solutions of Nonlinear PDEs.

    Biography

    P.L. Sachdev specializes in nonlinear phenomena. He is a Fellow of the Indian National Science Academy and the Indian Academy of Sciences and has been a Professor in the Department of Mathematics at the Indian Institute of Science for the last two decades.