EXACT SOLUTIONS FOR THE GENERALIZED SHALLOW WATER WAVE EQUATION BY THE GENERAL PROJECTIVE RICCATI EQUATIONS METHOD

被引:0
|
作者
Gomez, Cesar A. [1 ]
Salas, Alvaro [2 ]
机构
[1] Univ Nacl Colombia, Dept Math, Bogota, Colombia
[2] Univ Caldas, Dept Math, Manizales, Colombia
来源
BOLETIN DE MATEMATICAS | 2006年 / 13卷 / 01期
关键词
Nonlinear differential equation; travelling wave solution; Mathematica; projective Riccati equation method;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present the projective Riccati equations method to obtain exact solutions for the generalized shallow water wave equation (GSWW). We show the behavior of solutions with a graph.
引用
收藏
页码:50 / 56
页数:7
相关论文
共 50 条
  • [41] Exact Solutions of a Diffusive Predator–Prey System by the Generalized Riccati Equation
    Hyunsoo Kim
    Jin Hyuk Choi
    Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 1125 - 1143
  • [42] Nonlocal symmetries and exact solutions of the (2+1)-dimensional generalized variable coefficient shallow water wave equation
    Xin, Xiangpeng
    Zhang, Linlin
    Xia, Yarong
    Liu, Hanze
    APPLIED MATHEMATICS LETTERS, 2019, 94 : 112 - 119
  • [43] EXPLICIT AND EXACT NON-TRAVELING WAVE SOLUTIONS OF (3+1)-DIMENSIONAL GENERALIZED SHALLOW WATER EQUATION
    Liu, Jianguo
    Zhu, Wenhui
    Li Zhou
    He, Yan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (06): : 2381 - 2388
  • [44] Exact Traveling Wave Solutions and Bifurcations of Classical and Modified Serre Shallow Water Wave Equations
    Li, Jibin
    Chen, Guanrong
    Song, Jie
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (12):
  • [45] New types of interactions based on variable separation solutions via the general projective Riccati equation method
    Dai, Chao-Qing
    Zhang, Jie-Fang
    REVIEWS IN MATHEMATICAL PHYSICS, 2007, 19 (02) : 195 - 226
  • [46] Exact Traveling Wave Solutions of the Generalized Rosenau–Kawahara-RLW Equation via Simple Equations Method
    Nikolova, Elena V.
    Chilikova-Lubomirova, Mila
    Springer Proceedings in Mathematics and Statistics, 2023, 412 : 141 - 152
  • [47] Symmetries and exact solutions for a 2+1-dimensional shallow water wave equation
    Mansfield, EL
    Clarkson, PA
    MATHEMATICS AND COMPUTERS IN SIMULATION, 1997, 43 (01) : 39 - 55
  • [48] Solitons and other solutions to the nonlinear Bogoyavlenskii equations using the generalized Riccati equation mapping method
    Zayed, Elsayed M. E.
    Al-Nowehy, Abdul-Ghani
    OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (11)
  • [49] Exact solutions of a (2+1)-dimensional extended shallow water wave equation
    Yuan, Feng
    He, Jing-Song
    Cheng, Yi
    CHINESE PHYSICS B, 2019, 28 (10)
  • [50] Exact solutions of a(2+1)-dimensional extended shallow water wave equation
    袁丰
    贺劲松
    程艺
    Chinese Physics B, 2019, (10) : 241 - 248