Exact solutions and conservation laws of a -dimensional B-type Kadomtsev-Petviashvili equation

被引：13
|
作者：
Abudiab, Mufid [1 ]
Khalique, Chaudry Masood [2 ]
机构：
[1] Texas A&M Univ Corpus Christi, Dept Math & Stat, Corpus Christi, TX 78412 USA
[2] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
(3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation; multiple-exp function method; simplest equation method; conservation laws; ELLIPTIC FUNCTION SOLUTIONS; WAVE SOLUTIONS;
D O I：
10.1186/1687-1847-2013-221
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a -dimensional generalized B-type Kadomtsev-Petviashvili (BKP) equation. This equation is an extension of the well-known Kadomtsev-Petviashvili equation, which describes weakly dispersive and small amplitude waves propagating in quasi-two-dimensional media. We first obtain exact solutions of the BKP equation using the multiple-exp function and simplest equation methods. Furthermore, the conservation laws for the BKP equation are constructed by using the multiplier method.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] Integrability aspects, rational type solutions and invariant solutions of an extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation
    Mandal, Uttam Kumar
    Malik, Sandeep
    Kumar, Sachin
    Zhang, Yi
    Das, Amiya
    CHAOS SOLITONS & FRACTALS, 2024, 181
  • [42] Exact solutions to generalized Wick-type stochastic Kadomtsev-Petviashvili equation
    Wei, Cai-Min
    Xia, Zun-Quan
    Tian, Nai-Shuo
    CHAOS SOLITONS & FRACTALS, 2006, 29 (05) : 1178 - 1187
  • [43] Soliton molecules and some novel interaction solutions to the (2+1)-dimensional B-type Kadomtsev-Petviashvili equation
    Yang, Xiangyu
    Fan, Rong
    Li, Biao
    PHYSICA SCRIPTA, 2020, 95 (04)
  • [44] Solitary wave solutions, lump solutions and interactional solutions to the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation
    Gao, Min
    Zhang, Hai-Qiang
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (07):
  • [45] Exact Solutions and Conservation Laws of the (3+1)-Dimensional B-Type Kadomstev-Petviashvili (BKP)-Boussinesq Equation
    Gao, Ben
    Zhang, Yao
    SYMMETRY-BASEL, 2020, 12 (01):
  • [46] Breather and hybrid solutions for a generalized (3+1)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves
    Ding, Cui-Cui
    Gao, Yi-Tian
    Deng, Gao-Fu
    NONLINEAR DYNAMICS, 2019, 97 (04) : 2023 - 2040
  • [47] Backlund transformations and soliton solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics
    Huang, Zhi-Ruo
    Tian, Bo
    Zhen, Hui-Ling
    Jiang, Yan
    Wang, Yun-po
    Sun, Ya
    NONLINEAR DYNAMICS, 2015, 80 (1-2) : 1 - 7
  • [48] Soliton molecules and some novel hybrid solutions for (3+1)-dimensional B-type Kadomtsev-Petviashvili equation
    Ma, Hongcai
    Huang, Huaiyu
    Deng, Aiping
    MODERN PHYSICS LETTERS B, 2021, 35 (23):
  • [49] Lie symmetry reductions and exact solutions of Kadomtsev-Petviashvili equation
    Anukriti, Dig Vijay
    Tanwar, Dig Vijay
    PRAMANA-JOURNAL OF PHYSICS, 2025, 99 (01):
  • [50] Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart
    Asaad, Magdy G.
    Ma, Wen-Xiu
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5524 - 5542
12345