New to the Second EditionMore than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutionsParabolic, hyperbolic, elliptic, and other systems of equations with solutionsSome exact methods and transformationsSymbolic and numerical methods for solving nonlinear PDEs with Maple Mathematica

part |2 pages

Part I. Exact Solutions of Nonlinear Partial Differential Equations

chapter 1|40 pages

First-Order Quasilinear Equations

chapter 12|46 pages

Second-Order Equations of General Form

chapter 13|120 pages

Third-Order Equations

chapter 14|54 pages

Fourth-Order Equations

chapter 15|84 pages

Equations of Higher Orders

chapter 17|40 pages

Systems of Two Parabolic Equations

chapter 19|12 pages

Systems of Two Elliptic Equations

chapter 21|90 pages

Navier–Stokes and Related Equations

chapter 22|16 pages

Systems of General Form

part |2 pages

Part II. Exact Methods for Nonlinear Partial Differential Equations

chapter 30|16 pages

Method of Functional Separation of Variables

chapter 32|20 pages

Classical Method of Symmetry Reductions

chapter 33|6 pages

Nonclassical Method of Symmetry Reductions

chapter 34|26 pages

Method of Differential Constraints

chapter 37|6 pages

Conservation Laws

part |2 pages

Part III. Symbolic and Numerical Solutions of Nonlinear PDEs with Maple, Mathematica, and MATLAB

part |2 pages

Supplements. Painlevé Transcendents. Functional Equations

chapter 42|14 pages

Painleve´ Transcendents

chapter 43|12 pages

Functional Equations