Abundant lump and lump-kink solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

被引：92
作者：
Liu, Jian-Guo [1 ]
He, Yan [1 ]
机构：
[1] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China
来源：
NONLINEAR DYNAMICS | 2018年 / 92卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Lump solutions; Hirota's bilinear form; Lump-kink solutions; New generalized Kadomtsev-Petviashvili equation; MULTIPLE-SOLITON-SOLUTIONS; JIMBO-MIWA; RATIONAL SOLUTIONS; WAVE;
D O I：
10.1007/s11071-018-4111-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
By utilizing the Hirota's bilinear form and symbolic computation, abundant lump solutions and lump-kink solutions of the new (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation are derived in this work. Meanwhile, the interaction between lump solutions and the exponential function is also investigated. The dynamic properties of these obtained lump and interaction solutions are analyzed and described in figures by selecting appropriate parameters.
引用
收藏
页码：1103 / 1108
页数：6
相关论文
共 41 条
[1]  
[Anonymous], 2016, NONLINEAR DYN, DOI DOI 10.1007/s11071-016-2868-0
[2]  
[Anonymous], NONLINEAR DYN
[3]   Constructing rational and multi-wave solutions to higher order NEEs via the Exp-function method [J].
Aslan, Ismail .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (08) :990-995
[4]   Solitons in Optical Metamaterials by Functional Variable Method and First Integral Approach [J].
Biswas, Anjan ;
Mirzazadeh, M. ;
Eslami, Mostafa ;
Milovic, Daniela ;
Belic, Milivoj .
FREQUENZ, 2014, 68 (11-12) :525-530
[5]   A Pair of Resonance Stripe Solitons and Lump Solutions to a Reduced (3+1)-Dimensional Nonlinear Evolution Equation [J].
Chen, Mei-Dan ;
Li, Xian ;
Wang, Yao ;
Li, Biao .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (06) :595-600
[6]   Analytical spatiotemporal localizations for the generalized (3+1)-dimensional nonlinear Schrodinger equation [J].
Dai, Chaoqing ;
Wang, Yueyue ;
Zhang, Jiefang .
OPTICS LETTERS, 2010, 35 (09) :1437-1439
[7]   Nonclassical Symmetries for Nonlinear Partial Differential Equations via Compatibility [J].
El-Sabbagh, Mostafa F. ;
Ali, Ahmad T. .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (04) :611-616
[8]   Ion-acoustic dark solitons collision in an ultracold neutral plasma [J].
El-Tantawy, S. A. ;
Moslem, W. M. ;
Schlickeiser, R. .
PHYSICA SCRIPTA, 2015, 90 (08)
[9]   Application of first integral method to fractional partial differential equations [J].
Eslami, M. ;
Vajargah, B. Fathi ;
Mirzazadeh, M. ;
Biswas, A. .
INDIAN JOURNAL OF PHYSICS, 2014, 88 (02) :177-184
[10]  
Gorshkov K. A., 1993, Journal of Experimental and Theoretical Physics, V77, P237
12345