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The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation
KdV equation Gardner equation integrability multi-soliton stability
2011/2/25
Multi-soliton solutions of the Korteweg-de Vries equation (KdV)are shown to be globally L2-stable, and asymptotically stable in the sense of Martel-Merle [23]. The proof is surprisingly simple and com...
Lie symmetry analysis and exact solutions for a variable coefficient Gardner equation arising in arterial mechanics
Lie symmetry analysis arterial mechanics coefficient Gardner equation
2010/4/2
In this paper, a variable-coefficient Gardner equation is considered. By using the classical symmetry analysis method symmetries for this equation are obtained. Then, the generalized Jacobi elliptic f...