Published 1981
| Version v1
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Symmetries, conservation laws and invariant solutions of nonlinear evolution equations
Description
An infinite-dimensional commutative group of invariance of all equations obtained from the condition of consistency of first- order matrix operators has been found. It is shown that the local conservation laws derived earlier follow just from these symmetries. Equations for invariant solutions are considered, and the group of symmetry and first integrals of these equations are found
Availability note (English)
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Additional details
Additional titles
- Original title (Russian)
- Симметрии, законы сохранения и инвариантные решения нелинейных эволюционных уравнений
Publishing Information
- Imprint Pagination
- 19 p.
- Report number
- JINR-R--2-81-249
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 13672487
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COMMUTATION RELATIONS; CONSERVATION LAWS; DIFFERENTIAL EQUATIONS; INVARIANCE PRINCIPLES; LOCALITY; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL OPERATORS; MATRIX ELEMENTS; NONLINEAR PROBLEMS; SYMMETRY GROUPS
- Descriptors DEC
- EQUATIONS
Optional Information
- Notes
- 9 refs.; submitted to the journal Theor. Math. Phys.