On approximate Lagrangians and invariants for scaling reductions of a non-linear wave equation with damping
作者： Ferhana Ahmad , A.H. Kara , A.H. Bokhari , F.D. Zaman
DOI: 10.1016/J.AMC.2008.08.054
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摘要: Abstract Some results on the symmetry generators of equations with a small parameter and relationship between symmetries conservation laws for such are used to construct first-integrals from Lagrangians similarity reductions some classes non-linear wave equation. The (approximate) generators, invariants maintain perturbation order ‘small parameter’ stipulated in equation – first-order this case. These then analytically find invariant solutions concerned.
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