A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists, Chapman & Hall/CRC Press, 2006 To book contents

T9. Nonlinear Mathematical Physics Equations

• T9.1. Parabolic Equations
  • T9.1.1. Nonlinear Heat Equations of the Form w_t = w_xx + f(w)
  • T9.1.2. Equations of the Form w_t = [f(w)w_x]_x + g(w)
  • T9.1.3. Burgers Equation and Nonlinear Heat Equation in Radial Symmetric Cases
  • T9.1.4. Nonlinear Schrodinger Equations
• T9.2. Hyperbolic Equations
  • T9.2.1. Nonlinear Wave Equations of the Form w_tt = aw_xx + f(w)
  • T9.2.2. Other Nonlinear Wave Equations
• T9.3. Elliptic Equations
  • T9.3.1. Nonlinear Heat Equations of the Form w_xx + w_yy = f(w)
  • T9.3.2. Equations of the Form [f(x)w_x]_x + [g(y)w_y]_y = h(w)
  • T9.3.3. Equations of the Form [f(w)w_x]_x + [g(w)w_y]_y = h(w)
• T9.4. Other Second-Order Equations
  • T9.4.1. Equations of Transonic Gas Flow
  • T9.4.2. Monge--Ampere Equations
• T9.5. Higher-Order Equations
  • T9.5.1. Third-Order Equations
  • T9.5.2. Fourth-Order Equations
• References for Chapter T9

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