Consider the wave equation in four dimensions to avoid redundant typing on input and on the display use diff_table and declare
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Consider for instance the wave equation in two dimensions
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| (1) |
A solution for pde[1] obtained separating the variables by product
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| (2) |
Some Infinitesimals of polynomial type for pde[1] are
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| (3) |
New solutions for pde[1] exploring these infinitesimals can be computed using SymmetrySolutions as follows
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| (4) |
Note the introduction of the Lie group parameter ; the new solutions are valid for any value (not depending on , or ) of it. These solutions can be verified using pdetest
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