Nonlinear Partial Differential Equations: Techniques and Recent Developments

Name: Nonlinear Partial Differential Equations: Techniques and Recent Developments
Brand: World Scientific Publishing Company
SKU: 9789819816736
Price: 825.67 RON
Availability: InStock

Autor: Kaushik Roy, Laxmikanta Mandi

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Editura: World Scientific Publishing Company

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This book charts a clear and systematic roadmap for nonlinear partial differential equations (NLPDES...

Informații despre carte

Autor

Kaushik Roy, Laxmikanta Mandi

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2025

Pagini

410

EAN

9789819816736

ISBN

9819816734

Enbook ID

49311323

Editura

World Scientific Publishing Company

Greutate

738

Descriere completă

This book charts a clear and systematic roadmap for nonlinear partial differential equations (NLPDES). Beginning from the definition of a partial differential equation to the recent developments of nonlinear partial differential equations, this book will be a valuable resource for advanced postgraduate students and researchers in applied mathematics, physics, nonlinear optics, and other engineering disciplines where knowledge of nonlinear differential equations is a must.

The book begins with an introductory chapter that briefly describes the developments of linear as well as nonlinear partial differential equations. Several nonlinear partial differential equations that have emerged in various fields have also been discussed. Chapter 2 introduces several analytical techniques, including the traveling wave solutions and the similarity solutions of the nonlinear partial differential equations. In Chapter 3, approximate analytical solutions and semi-analytic solutions are presented, in which solutions of non-integrable or non-autonomous nonlinear partial differential equations are investigated after suitable approximation. Some recent breakthroughs in semi-analytical approaches such as the Variational iteration method (VIM), Adomian decomposition method (ADM), Homotopy Analysis method (HAM), and Homotopy Perturbation method (HPM) are also explained with examples. Chapter 4 deals with modern advancements in NLPDE, Painlevé tests, the Inverse Scattering Method, the Lax Pair Method, Darboux Transformation, Bäcklund Transformation, and the Hirota Direct Method. The focus of this comprehensive monograph is to check the integrability and find analytical solutions for important NLPDEs according to recent developments.

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Nonlinear Partial Differential Equations: Techniques and Recent Developments

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