The book "Handbook of Nonlinear Partial Differential Equations" by Andrei D. Polyanin and Valentin F. Zaitsev is a comprehensive resource that covers over 1600 nonlinear mathematical physics equations and their solutions. It includes equations of parabolic, hyperbolic, elliptic, mixed, and general types, as well as second-, third-, fourth-, and higher-order nonlinear equations. The book provides exact solutions for various fields such as heat and mass transfer, wave theory, nonlinear mechanics, hydrodynamics, gas dynamics, plasticity theory, nonlinear acoustics, combustion theory, nonlinear optics, theoretical physics, differential geometry, control theory, chemical engineering sciences, biology, and others. Key features of the book include: - A wide range of exact solutions, many of which are new. - Equations are organized by type (parabolic, hyperbolic, elliptic, mixed, general) and complexity. - Special attention is given to general-form equations that depend on arbitrary functions, which are valuable for testing numerical and approximate methods. - The book includes practical methods for solving nonlinear mathematical physics equations, such as classical and modern techniques like symmetry reductions, differential constraints, and generalized separation of variables. - The authors aim to make the content accessible to readers with different mathematical backgrounds by avoiding specialized terminology and providing schematic explanations. - The book is structured into chapters, sections, and subsections, with equations and formulas numbered separately within each subsection. The book is intended for use by lecturers, graduate and postgraduate students, and researchers in mathematics, physics, mechanics, control, chemistry, and engineering sciences. It serves as a valuable reference for both theoretical and applied research, providing a database of test problems for numerical and approximate methods.The book "Handbook of Nonlinear Partial Differential Equations" by Andrei D. Polyanin and Valentin F. Zaitsev is a comprehensive resource that covers over 1600 nonlinear mathematical physics equations and their solutions. It includes equations of parabolic, hyperbolic, elliptic, mixed, and general types, as well as second-, third-, fourth-, and higher-order nonlinear equations. The book provides exact solutions for various fields such as heat and mass transfer, wave theory, nonlinear mechanics, hydrodynamics, gas dynamics, plasticity theory, nonlinear acoustics, combustion theory, nonlinear optics, theoretical physics, differential geometry, control theory, chemical engineering sciences, biology, and others. Key features of the book include: - A wide range of exact solutions, many of which are new. - Equations are organized by type (parabolic, hyperbolic, elliptic, mixed, general) and complexity. - Special attention is given to general-form equations that depend on arbitrary functions, which are valuable for testing numerical and approximate methods. - The book includes practical methods for solving nonlinear mathematical physics equations, such as classical and modern techniques like symmetry reductions, differential constraints, and generalized separation of variables. - The authors aim to make the content accessible to readers with different mathematical backgrounds by avoiding specialized terminology and providing schematic explanations. - The book is structured into chapters, sections, and subsections, with equations and formulas numbered separately within each subsection. The book is intended for use by lecturers, graduate and postgraduate students, and researchers in mathematics, physics, mechanics, control, chemistry, and engineering sciences. It serves as a valuable reference for both theoretical and applied research, providing a database of test problems for numerical and approximate methods.