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

T10. Systems of Partial Differential Equations

• T10.1. Nonlinear Systems of Two First-Order Equations
• T10.2. Linear Systems of Two Second-Order Equations
• T10.3. Nonlinear Systems of Two Second-Order Equations
  • T10.3.1. Systems of the Form u_t = au_xx + F(u, w),  w_t = bw_xx + G(u, w)
  • T10.3.2. Systems of the Form u_t = ax⁻ⁿ(xⁿu_x)_x + F(u, w),  w_t = bx⁻ⁿ(xⁿw_x)_x + G(u, w)
  • T10.3.3. Systems of the Form u_xx + u_yy = F(u, w),  w_xx + w_yy = G(u, w)
  • T10.3.4. Systems of the Form u_tt = ax⁻ⁿ(xⁿu_x)_x + F(u, w),  w_t = bx⁻ⁿ(xⁿw_x)_x + G(u, w)
  • T10.3.5. Other Systems
• T10.4. Systems of General Form
  • T10.4.1. Linear Systems
  • T10.4.2. Nonlinear Systems of Two Equations Involving the First Derivatives in t
  • T10.4.3. Nonlinear Systems of Two Equations Involving the Second Derivatives in t
  • T10.4.4. Nonlinear Systems of Many Equations Involving the First Derivatives in t
• References for Chapter T10

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