... 724 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS Similarly, it can be established that the following special forms ... Solutions 15.8.3-1. Using symmetries of equations for constructing one-parameter solutions. Suppose a particular solution, w = g(x, y), (15.8.3.1) of a given equation is known. Let us show that any ... from Subsection 15.8.2) X 3 = 2t∂ t + x∂ x . Invariants of X 3 are found for t...
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