On Blow-Up Solutions for the Fourth-Order Nonlinear Schrödinger Equation with Mixed Dispersions

Author:

Niu Huiling12,Youssouf Abdoulaye Ali3,Feng Binhua3

Affiliation:

1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China

2. School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China

3. Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Abstract

In this paper, we consider blow-up solutions for the fourth-order nonlinear Schrödinger equation with mixed dispersions. We study the dynamical properties of blow-up solutions for this equation, including the H˙γc-concentration and limiting profiles, which extend and improve the existing results in the literature.

Funder

Natural Science Foundation of Ningxia Hui Autonomous Region

Natural Science Foundation of Gansu Province of China

National Natural Science Foundation of China

Publisher

MDPI AG

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