Exact Traveling Wave Solutions of Diffusive Predator Prey System using the First Integral Method

被引：1

作者：

Poonia, Mahima ^{[1
]}

Singh, K. ^{[1
]}

机构：

[1] Jaypee Univ Informat Technol, Dept Math, Solan 173234, HP, India

来源：

ADVANCEMENTS IN MATHEMATICS AND ITS EMERGING AREAS | 2020年 / 2214卷

关键词：

NONLINEAR EVOLUTION-EQUATIONS; OPTICAL SOLITONS;

D O I：

10.1063/5.0003701

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An efficient and direct method to extract the exact solutions of various nonlinear partial differential equations is the first integral method. In this paper, we have employed this method on diffusive predator-prey equations which leads to many traveling wave solutions including two implicit solutions. An important contribution is provided in the form of the implicit solutions that weren't reported in literature earlier.

引用

页数：9

共 50 条

[31] A Method for Constructing Traveling Wave Solutions to Nonlinear Evolution Equations
Juhong Ge
Cuncai Hua
Zhaosheng Feng
Acta Applicandae Mathematicae, 2012, 118 : 185 - 201
[32] New exact traveling wave solutions of the (4+1)-dimensional Fokas equation
Al-Amr, Mohammed O.
El-Ganaini, Shoukry
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (06) : 1274 - 1287
[33] Analytical study of exact traveling wave solutions for time-fractional nonlinear Schrodinger equations
Ilie, Mousa
Biazar, Jafar
Ayati, Zainab
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (12)
[34] Frobenius' Idea Together with Integral Bifurcation Method for Investigating Exact Solutions to a Water Wave Model of the Generalized mKdV Equation
Rui, Weiguo
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[35] Exact traveling wave solutions for some nonlinear evolution equations with nonlinear terms of any order
Chen, Y
Li, B
Zhang, HQ
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2003, 14 (01): : 99 - 112
[36] RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations
Li, ZB
Liu, YP
COMPUTER PHYSICS COMMUNICATIONS, 2004, 163 (03) : 191 - 201
[37] Exact solutions of the generalized (2+1)-dimensional BKP equation by the G′ / G-expansion method and the first integral method
Cheng, Huaji
Hu, Yanxia
AIMS MATHEMATICS, 2017, 2 (03): : 562 - 579
[38] First integrals and solutions of the traveling wave reduction for the Triki-Biswas equation
Kudryashov, Nikolay A.
OPTIK, 2019, 185 : 275 - 281
[39] On the exact solutions to the long-short-wave interaction system
Fan Hui-Ling
Fan Xue-Fei
Li Xin
CHINESE PHYSICS B, 2014, 23 (02)
[40] New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrodinger equation
Rezazadeh, Hadi
Younis, Muhammad
Shafqat-Ur-Rehman
Eslami, Moostafa
Bilal, Muhammad
Younas, Usman
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 16

← 1 2 3 4 5 →