Conserved quantities, global existence and blow-up for a generalized CH equation

Long Wei; Zhijun Qiao; Yang Wang; Shouming Zhou

doi:10.3934/dcds.2017072

Article Contents

2017, Volume 37, Issue 3: 1733-1748. Doi: 10.3934/dcds.2017072

This issue Previous Article Infinitely many solutions for nonlinear Schrödinger equations with slow decaying of potential Next Article Asymptotic properties of standing waves for mass subcritical nonlinear Schrödinger equations

Conserved quantities, global existence and blow-up for a generalized CH equation

1.
Department of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, China
2.
Department of Mathematics, The University of Texas Rio Grande Valley, Edinburg, TX 78541, USA
3.
College of Mathematics and statistics, Chongqing University, Chongqing 401331, China

Received: June 2016

Revised: August 2016

Published: May 2017

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Abstract

In this paper, we study conserved quantities, blow-up criterions, and global existence of solutions for a generalized CH equation. We investigate the classification of self-adjointness, conserved quantities for this equation from the viewpoint of Lie symmetry analysis. Then, based on these conserved quantities, blow-up criterions and global existence of solutions are presented.

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Mathematics Subject Classification: Primary:35G25, 35L05.

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