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Conditional Lie Backlund Symmetries of Hamilton--Jacobi Equations |
| WANG Li-Zhen1,2;GOU Ming1,2, QU Chang-Zheng1,2 |
| 1Center for Nonlinear Studies, Northwest University, Xi'an 7100692Department of Mathematics, Northwest University, Xi'an 710069 |
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| Cite this article: |
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WANG Li-Zhen, GOU Ming, QU Chang-Zheng 2007 Chin. Phys. Lett. 24 3293-3296 |
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Abstract symmetry method, as a generalization of the conditional symmetry and Lie Backlund symmetry methods, is developed to study the Hamilton--Jacobi equations. It is shown that the equation ut=uxn+1+B(u)ux+C(u) admits a class of conditional Lie Backlund symmetry for certain functions B(u) and C(u). As a result, a complete description of structure of solutions to the resulting equations associated to the conditional Lie Backlund symmetry is performed.
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| Keywords:
02.20.-a
02.30.Jr
44.05.+e
44.10.+i
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Received: 14 April 2007
Published: 03 December 2007
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