دانلود کتاب Analytical Techniques for Solving Nonlinear Partial Differential Equations (Synthesis Lectures on Mathematics and Statistics)

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Preface Acknowledgments Nonlinear PDEs are Everywhere Exercises References Compatibility Charpit's Method Second-Order PDEs Compatibility in (2+1) Dimensions Compatibility for Systems of PDEs Exercises References Differential Substitutions Generalized Burgers' Equation KdV-MKdV Connection Generalized KdV Equation Matrix Hopf–Cole Transformation Darboux Transformations Second-Order Darboux Transformations Darboux Transformations Between Two Diffusion Equations Darboux Transformations Between Two Wave Equations Exercises References Point and Contact Transformations Contact Transformations Hodograph Transformation Legendre Transformation Ampere Transformation Contact Condition Plateau Problem Linearization Well-known Minimal Surfaces Exercises References First Integrals Quasilinear Second-Order Equations Monge–Ampere Equation The Martin Equation First Integrals and Linearization Hyperbolic MA Equations Parabolic MA Equations Elliptic MA Equations Exercises References Functional Separability Exercises References Solutions Author's Biography Blank Page