NONCLASSICAL POTENTIAL SYMMETRIES AND INVARIANT SOLUTIONS OF HEAT EQUATION
Some nonclassical potential symmetry generators and group-invariant solutions of heat equation and wave equation were determined. It is shown that some new explicit solutions of partial differential equations in conserved form can he constructed by using the nonclassical potential symmetry generator...
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| Published in: | Applied mathematics and mechanics Vol. 27; no. 2; pp. 241 - 246 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
School of Science, Beijing Institute of Technology,Beijing 100081, P. R. China%School of Science, Beijing Institute of Technology,Beijing 100081, P. R. China
01-02-2006
School of Science, Chongqing Technology and Business University,Chongqing 400067, P. R. China |
| Subjects: | |
| Online Access: | Get full text |
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| Summary: | Some nonclassical potential symmetry generators and group-invariant solutions of heat equation and wave equation were determined. It is shown that some new explicit solutions of partial differential equations in conserved form can he constructed by using the nonclassical potential symmetry generators which are derived from their adjoint system. These explicit solutions cannot he obtained by using the Lie or Lie-Baeicklund symmetry group generators of differential equations. |
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| Bibliography: | explicit nonclassical potential symmetry wave equation nonclassical potential symmetry; solution heat equation; wave equation; explicit 31-1650/O1 solution heat equation O152.5 O175.2 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0253-4827 1573-2754 |
| DOI: | 10.1007/s10483-006-0213-y |