Multisoliton solutions, completely elastic collisions and non-elastic fusion phenomena of two PDEs

被引：25

作者：

Khatun, Mst Shekha ^{[1
]}

Hoque, Md Fazlul ^{[1
,2
]}

Rahman, Md Azizur ^{[1
]}

机构：

[1] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh

[2] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

PRAMANA-JOURNAL OF PHYSICS | 2017年 / 88卷 / 06期

关键词：

Direct rational exponential scheme; the double-subequation method; the clannish random walker's parabolic equation; travelling wave solutions; multisoliton solution; MULTIPLE-SOLITON-SOLUTIONS; NONLOCAL NONLINEAR MEDIA; TRAVELING-WAVE SOLUTIONS; BOUSSINESQ EQUATION; OSTROVSKY EQUATION; OPTICAL SOLITONS; DYNAMICS;

D O I：

10.1007/s12043-017-1390-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A direct rational exponential scheme is introduced and applied to construct exact multisoliton solutions of the clannish random walker's parabolic and the Vakhnenko-Parkes equations. We discuss the nature of soliton solutions before and after their interactions, and present their fusion (non-elastic) and elastic collisions of the soliton solutions. These soliton solutions of the equations are connected to physical phenomena: weakly non-linear surface, internal waves in a rotating ocean and interacting population motions. In addition, some three-dimensional and contour plots of the soliton wave solutions are presented to visualize the dynamics of the models.

引用

页数：9

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