منابع مشابه
Nonlocal conservation laws for supersymmetric KdV equations
The nonlocal conservation laws for the N=1 supersymmetric KdV equation are shown to be related in a simple way to powers of the fourth root of its Lax operator. This provides a direct link between the supersymmetry invariance and the existence of nonlocal conservation laws. It is also shown that nonlocal conservation laws exist for the two integrable N=2 supersymmetric KdV equations whose recur...
متن کاملLie symmetry analysis for Kawahara-KdV equations
We introduce a new solution for Kawahara-KdV equations. The Lie group analysis is used to carry out the integration of this equations. The similarity reductions and exact solutions are obtained based on the optimal system method.
متن کاملNonclassical Symmetry Reductions for Coupled KdV Equations
In this paper, by using the nonclassical method, several new symmetries and solutions are obtained, which are unobtainable by Lie classical symmetries.
متن کاملOn symmetries of KdV-like evolution equations
It is well known that provided scalar (1+1)-dimensional evolution equation possesses the infinitedimensional commutative Lie algebra of time-independent non-classical symmetries, it is either linearizable or integrable via inverse scattering transform [1, 2]. The standard way to prove the existence of such algebra is to construct the recursion operator [2]. But Fuchssteiner [3] suggested an alt...
متن کاملlie symmetry analysis for kawahara-kdv equations
we introduce a new solution for kawahara-kdv equations. the lie group analysis is used to carry out the integration of this equations. the similarity reductions and exact solutions are obtained based on the optimal system method.
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2020
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2020.126894