A procedure to construct exact solutions of nonlinear evolution equations

被引：55

作者：

Cevikel, Adem Cengiz ^{[1
]}

Bekir, Ahmet ^{[2
]}

Akar, Mutlu ^{[3
]}

San, Sait ^{[2
]}

机构：

[1] Yildiz Tech Univ, Fac Educ, Dept Math Educ, TR-34210 Istanbul, Turkey

[2] Eskisehir Osmangazi Univ, Fac Arts & Sci, Dept Math & Comp Sci, Eskisehir, Turkey

[3] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, TR-34210 Istanbul, Turkey

来源：

PRAMANA-JOURNAL OF PHYSICS | 2012年 / 79卷 / 03期

关键词：

Exact solutions; the functional variable method; nonlinear wave equations; TRAVELING-WAVE SOLUTIONS; EXP-FUNCTION METHOD; SINE-COSINE METHOD; (G'/G)-EXPANSION METHOD; TANH METHOD; MBBM;

D O I：

10.1007/s12043-012-0326-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we implemented the functional variable method for the exact solutions of the Zakharov-Kuznetsov-modified equal-width (ZK-MEW), the modified Benjamin-Bona-Mahony (mBBM) and the modified KdV-Kadomtsev-Petviashvili (KdV-KP) equations. By using this scheme, we found some exact solutions of the above-mentioned equations. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions. The functional variable method presents a wider applicability for handling nonlinear wave equations.

引用

页码：337 / 344

页数：8

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