Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion

By V. Karpman, A. G. Shagalov. 2000

295 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/789f8e451dd7c23f491a60978d92302c9a9a7009

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In Mathematical Physics

1. Benoit Pausader
2. Qing Guo

In Statistical and Nonlinear Physics

1. Benoit Pausader

Citations in the corpus

• Global Well-Posedness for Energy Critical Fourth-Order Schrodinger Equations in the Radial Case (2007, methodology): “Fourth-order Schr odinger equations have been introduced by Karpman [13] and Karpman and Shagalov [ 14 ] to take into account the role of small fourth-order dispersion terms in the propagation of intense laser beams in a bulk medium with Kerr nonlinearity.”