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Lowering of order and general solutions of some classes of partial differential equations
1998
Abstract A procedure of lowering the order and a construction of general solutions for some classes of partial differential equations (PDEs) are proposed. Some classes of general solutions of some linear and nonlinear equations of mathematical physics are constructed and a series of examples is presented.
Keywords:
- Stochastic partial differential equation
- Examples of differential equations
- Exponential integrator
- Method of characteristics
- Mathematical analysis
- Numerical partial differential equations
- Separable partial differential equation
- d'Alembert's formula
- Mathematical optimization
- Mathematics
- Nonlinear system
- First-order partial differential equation
- Differential algebraic equation
- Differential equation
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