The new exact analytical solutions and numerical simulation of (3

被引：2

作者：

Zhang, Lanfang ^{[1
]}

Ji, Juanjuan ^{[1
]}

Jiang, Julang ^{[1
]}

Zhang, Chaolong ^{[1
]}

机构：

[1] Anqing Normal Univ, Sch Phys & Elect Engn, Anqing, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS | 2019年 / 10卷 / 02期

基金：

中国国家自然科学基金;

关键词：

(3 + 1)-dimensional time fractional KZK equation; diffraction; thermoviscous attenuation; nonlinearity fractional complex transform; numerical simulation; PARTIAL-DIFFERENTIAL-EQUATIONS; 1ST INTEGRAL METHOD; EXP-FUNCTION; TRANSFORM;

D O I：

10.1504/IJCSM.2019.098744

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The KZK parabolic nonlinear wave equation is one of the most widely employed nonlinear models for propagation of 3D diffraction sound beams in dissipative media. In this paper, the exact analytical solutions of (3 + 1)-dimensional time fractional KZK equation have been constructed in the sense of modified Riemann-Liouville derivative and the (G'/G)-expansion method, the simplest equation and the fractional complex transform. As a result, some new exact analytical solutions are obtained, and the effects of diffraction, attenuation and nonlinearity are researched deeply using the obtained exact analytical solutions.

引用

页码：174 / 192

页数：19

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