To construct lumps, breathers and interaction solutions of arbitrary higher-order for a (4+1)-dimensional Fokas equation

被引：11

作者：

Li, Wei ^{[1
]}

Liu, Yinping ^{[2
]}

机构：

[1] East China Normal Univ, Dept Comp Sci & Technol, Shanghai, Peoples R China

[2] East China Normal Univ, Shanghai Key Lab PMMP, Sch Math Sci, Shanghai, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2020年 / 34卷 / 21期

基金：

中国国家自然科学基金;

关键词：

Symbolic computation; (4+1)-dimensional Fokas equation; simplified Hirota method; lump solutions; breather solutions; interaction solutions; TRAVELING-WAVE SOLUTIONS; MULTIPLE-SOLITON SOLUTIONS; BILINEAR FORMALISM;

D O I：

10.1142/S0217984920502218

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this work, by introducing a kind of parameters constraint to ensure that the well known formula of n-soliton solutions works well not only for integrable systems, but also for non-integrable systems. Then for the (4 + 1)-dimensional Fokas equation, based on this constraint and the modified n-soliton solutions, we further construct its different types of higher-order wave solutions, especially new types of interaction solutions.

引用

页数：16

共 39 条

[1] New exact traveling wave solutions of the (4+1)-dimensional Fokas equation [J].

Al-Amr, Mohammed O. ;

El-Ganaini, Shoukry .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (06) :1274-1287

[2] Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation [J].

Batwa, Sumayah ;

Ma, Wen-Xiu .

ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018

[3]

Chao Ma, 2014, Advanced Materials Research, V1051, P1000, DOI 10.4028/www.scientific.net/AMR.1051.1000

[4]

Cheng L., 2017, MOD PHYS LETT B, V31, P175

[5] A new approach to the Darboux-Backlund transformation versus the standard dressing method [J].

Cieslinski, JL ;

Biernacki, W .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (43) :9491-9501

[6] SPATIO-TEMPORAL DYNAMICS AND INTERACTION OF LUMP SOLUTIONS FOR THE (4+1)-D FOKAS EQUATION [J].

Dai, Hou-Ping ;

Tan, Wei ;

Zheng, Zhou-Shun .

THERMAL SCIENCE, 2018, 22 (04) :1823-1830

[7]

Fokas A. S., 2006, PHYS REV LETT, V96, P190

[8] SOLITON-SOLUTIONS OF THE KORTEWEG-DEVRIES AND KADOMTSEV-PETVIASHVILI EQUATIONS - THE WRONSKIAN TECHNIQUE [J].

FREEMAN, NC ;

NIMMO, JJC .

PHYSICS LETTERS A, 1983, 95 (01) :1-3

[9] Symbolic methods to construct exact solutions of nonlinear partial differential equations [J].

Hereman, W ;

Nuseir, A .

MATHEMATICS AND COMPUTERS IN SIMULATION, 1997, 43 (01) :13-27

[10]

Hirota R., 2004, The direct method in soliton theory, V155

← 1 2 3 4 →