Multisymplectic Scheme for the Improved Boussinesq Equation

doi:10.1088/0256-307X/30/7/070202

Chin. Phys. Lett.

2013, Vol. 30

Issue (7): 070202 DOI: 10.1088/0256-307X/30/7/070202

GENERAL

Multisymplectic Scheme for the Improved Boussinesq Equation

CAI Jia-Xiang^1,2**, QIN Zhi-Lin¹, BAI Chuan-Zhi¹

¹School of Mathematics Science, Huaiyin Normal University, Huai'an 223300
²Jiangsu Key Laboratory for NSLSCS, School of Mathematics Science, Nanjing Normal University, Nanjing 210046

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CAI Jia-Xiang, QIN Zhi-Lin, BAI Chuan-Zhi 2013 Chin. Phys. Lett. 30 070202

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Abstract We first note that the improved Boussinesq equation has a multisymplectic structure. Based on it, a multisymplectic scheme is proposed. Dispersion relations analysis and linear stability analysis show that the proposed scheme has excellent properties. Numerical results confirm the excellent long-term behavior of the proposed scheme.

Received: 09 April 2013 Published: 21 November 2013

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.70.Bf	(Finite-difference methods)
	45.10.Na	(Geometrical and tensorial methods)
	45.20.dh	(Energy conservation)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/7/070202 OR https://cpl.iphy.ac.cn/Y2013/V30/I7/070202

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[1] Iskandar L and Jain P C 1980 Proc. Indian Academy Sci. (Math. Sci.) 89 171
[2] E I-Zoheiry H 2002 Chaos Solitons Fractals 14 377
[3] Inc M and Evans D J 2004 Int. J. Comput. Math. 81 313
[4] Bratsos A G 2007 Phys. Lett. A 370 145
[5] Bratsos A G 2009 Chaos Solitons Fractals 40 2083
[6] Lin Q et al S 2009 J. Comput. Appl. Math. 224 658
[7] Irk D and Da? I 2010 Numer. Methods Partial Differ. Eq. 26 1316
[8] Marsden J E et al 1998 Commun. Math. Phys. 199 351
[9] Bridges T J and Reich S 2001 Phys. Lett. A 284 184
[10] Hong J L and Kong L H 2010 Commun. Comput. Phys. 7 613
[11] Kong L H et al 2010 Comput. Phys. Commun. 181 1369
[12] Sun Y and Tse P S P 2011 J. Comput. Phys. 230 2076
[13] Cai J X and Liang H 2012 Chin. Phys. Lett. 29 080201
[14] Qian X et al 2012 Chin. Phys. B 21 070206
[15] Wang J 2009 J. Phys. A: Math. Theor. 42 085205
[16] Ascher U M and McLachlan R I 2004 Appl. Numer. Math. 48 255
[17] Cai J X et al 2013 Chin. Phys. B 22 030209
[18] Moore B E and Reich S 2003 Numer. Math. 95 625

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