Izvorni znanstveni članak
Symmetries and recursion operators of variable coefficient Korteweg-de Vries equations
Balliappadath V. Baby
; International Centre for Theoretical Physics, Trieste, Italy
Sažetak
Olver's method of finding the existence of infinitely many symmetries for an evolution equation is found to be true for the nonisospectral case. The recursion operators are developed from the Lax-pairs and this method is extended for nonisospectral problems. It is found that the minimum number of different infinite set of symmetries is the same as the number of independent similarity transformation groups associated with the given evolution equation. The relation between travelling wave solution and similarity transformation is also discussed. The results are applied to the variable coefficient Korteweg-de Vries equations.
Ključne riječi
Hrčak ID:
331444
URI
Datum izdavanja:
5.7.1988.
Posjeta: 523 *