Nonlinear Partial Differential Equations: Techniques And Recent Developments
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A01=Kaushik Roy
A01=Laxmikanta Mandi
A01=Prasanta Chatterjee
Adomian Decomposition Method (ADM)
Analytical Methods for Nonlinear PDEs
Applied Mathematics
Approximate Analytical Methods
Author_Kaushik Roy
Author_Laxmikanta Mandi
Author_Prasanta Chatterjee
Backlund Transformation
BAfA?cklund Transformation
Boussinesq Systems
Category=PBKJ
Category=PHU
Computational Physics
Darboux Transformation
Dispersive Waves
Double-Wronskian Method
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eq_isMigrated=2
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Gardner Equation
Hirota Direct Method
Homotopy Analysis Method (HAM)
Homotopy Perturbation Method (HPM)
Integrability in Nonlinear Systems
Inverse Scattering Transform
Kadomtsev-Petviashvili (KP) Equation
KadomtsevAcAEURA"Petviashvili (KP) Equation
Korteweg-de Vries (KdV) Equation
KortewegAcAEURA"de Vries (KdV) Equation
Lax Pair Method
Mathematical Physics
Modified Korteweg-de Vries (mKdV) Equation
Modified KortewegAcAEURA"de Vries (mKdV) Equation
Non-Integrable Systems
Nonlinear Optics
Nonlinear Partial Differential Equations (NLPDEs)
PainlevAfA(C) Analysis
Painleve Analysis
Similarity Solutions
Soliton Solutions
Soliton Theory
Traveling Wave Solutions
Variational Iteration Method (VIM)
Wronskian Techniques
Product details
- ISBN 9789819816736
- Publication Date: 04 Nov 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
