Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)

The long time behavior of solutions for a

Authors
Shaoyong Lai1, Hongmei Cai
1The school of Economic Math., Southwestern Univ. of Finance and Economics,
Corresponding Author
Shaoyong Lai
Available Online October 2007.
DOI
https://doi.org/10.2991/iske.2007.11How to use a DOI?
Keywords
Boussinesq equation; well-posedness;
Abstract

The initial-boundary value problem is investigated for a generalized Boussinesq equation with the quadratic nonlinearity. For small initial data and homogeneous boundary conditions, its solution is constructed in the form of a series which converges absolutely and uniformly. The long time asymptotic expansion of the solution is acquired to show the nonlinear effects of amplitude.

Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
Series
Advances in Intelligent Systems Research
Publication Date
October 2007
ISBN
978-90-78677-04-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/iske.2007.11How to use a DOI?
Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Shaoyong Lai
AU  - Hongmei Cai
PY  - 2007/10
DA  - 2007/10
TI  - The long time behavior of solutions for a
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 55
EP  - 60
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.11
DO  - https://doi.org/10.2991/iske.2007.11
ID  - Lai2007/10
ER  -