N-soliton solutions for (2+1)-dimensional nonlinear dissipative Zabolotskaya-Khokhlov system

被引：1

作者：

Li, BangQing ^{[1
,2
]}

Wang, Cong ^{[1
]}

机构：

[1] Beijing Technol & Business Univ, Sch Comp & Informat Engn, Beijing 100048, Peoples R China

[2] China Univ Min & Technol, Sch Mech Elect & Informat Engn, Beijing 100083, Peoples R China

来源：

ADVANCED RESEARCH ON ENGINEERING MATERIALS, ENERGY, MANAGEMENT AND CONTROL, PTS 1 AND 2 | 2012年 / 424-425卷

关键词：

(2+1)-dimensional nonlinear dissipative Zabolotskaya-Khokhlov system; improved Hirota method; N-soliton solution; evolution process; EQUATION; ACOUSTICS;

D O I：

10.4028/www.scientific.net/AMR.424-425.564

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Applying a symbolic computation algorithm, namely, the improved Hirota bilinear method, a new type of the N-soliton solutions is obtained for the (2+1)-dimensional nonlinear dissipative Zabolotskaya-Khokhlov system. The solutions can be expressed explicitly. Furthermore, the evolution process is investigated for the N-soliton solutions.

引用

页码：564 / +

页数：2

共 7 条

[1] Some traveling wave solutions for the dissipative Zabolotskaya-Khokhlov equation
Bruzon, M. S.
Gandarias, M. L.
Torrisi, M.
Tracina, R.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (10)
[2] Clarkson P.A., 1992, EUR J APPL MATH, V3, P381
[3] KUZNETSOV VP, 1971, SOV PHYS ACOUST+, V16, P467
[4] The interaction processes of the N-soliton solutions for an extended generalization of Vakhnenko equation
Li, Bangqing
Ma, Yulan
Sun, Jianzhi
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (12) : 3522 - 3535
[5] The Khokhlov-Zabolotskaya-Kuznetsov equation
Rozanova, Anna
[J]. COMPTES RENDUS MATHEMATIQUE, 2007, 344 (05) : 337 - 342
[6] Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
Wazwaz, Abdul-Majid
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (01) : 633 - 640
[7] ZABOLOTSKAYA EA, 1969, SOV PHYS ACOUST+, V15, P35

← 1 →