SIMILARITY REDUCTIONS FOR A (3+1)-DIMENSIONAL GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION IN NONLINEAR OPTICS, FLUID MECHANICS AND PLASMA PHYSICS

被引：0

作者：

Gao, Xin-Yi ^{[1
,2
]}

Guo, Yong-Jiang ^{[1
,2
]}

Shan, Wen-Rui ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2021年 / 20卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Optics; Fluid Mechanics; Plasma Physics; Symbolic Computation; (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation; Similarity Reductions; PERIODIC-WAVE SOLUTIONS; SOLITON;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In nonlinear optics, fluid mechanics and plasma physics, we study a (3+1)- dimensional generalized Kadomtsev-Petviashvili equation, and as for the wave amplitude, making use of symbolic computation, work out three sets of the similarity reductions, each of which can be reduced to a known solvable ordinary differential equation. All of our results depend on the coefficients of the equation. We hope that, based on our similarity reductions, solutions of those known solvable ordinary differential equations could help the researchers investigating some wave modes in nonlinear optics, fluid mechanics and plasma physics.

引用

页码：421 / 429

页数：9

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