Abstract
We have considered all nonlinear evolution equations generated by the operator relation

where L is the differential operator of the form

and A, B are rationally dependent on parameter η differential operators. We have found the infinite dimensional group of symmetries of equations thus obtained. Several infinite series of conservation laws are also found which are satisfied by the solutions of these equations.
Keywords
- Diagonal Element
- Recurrence Relation
- Soliton Solution
- Formal Series
- Nonlinear Evolution Equation
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References
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© 1982 Spring-Verlag
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Mel’nikov, V.K. (1982). Symmetries and conservation laws of dynamical systems. In: Doebner, HD., Palev, T.D. (eds) Twistor Geometry and Non-Linear Systems. Lecture Notes in Mathematics, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066029
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DOI: https://doi.org/10.1007/BFb0066029
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11972-2
Online ISBN: 978-3-540-39418-1
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