Abundant soliton-type solutions to the new generalized KdV equation via auto-Backlund transformations and extended transformed rational function technique

被引：14

作者：

Jannat, Nahal ^{[1
]}

Kaplan, Melike ^{[2
]}

Raza, Nauman ^{[1
]}

机构：

[1] Univ Punjab, Dept Math, Quaid E Azam Campus, Lahore, Pakistan

[2] Kastamonu Univ, Fac Engn & Architecture, Dept Comp Engn, Kastamonu, Turkey

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2022年 / 54卷 / 08期

关键词：

Auto-Backlund transformations; Soliton; Hirota direct method; Complexiton solutions; Symbolic computation; DE-VRIES EQUATION; NUMERICAL-SIMULATION; OPTICAL SOLITONS;

D O I：

10.1007/s11082-022-03862-x

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This study investigates new soliton-type solutions to the new generalized KdV (ngKdv) equation. For this purpose, the homogeneous balance method is used to create Auto-Backlund transformations of the regarded equation and with the help of the transformations, abundant exact and explicit solutions have been found. We found complexiton solutions to the dealt equation by using the extended transformed rational function technique. We have also given the 3D graphics of the obtained solutions.

引用

页数：15

共 49 条

[1] Abundant soliton-type solutions to the new generalized KdV equation via auto-Bäcklund transformations and extended transformed rational function technique
Nahal Jannat
Melike Kaplan
Nauman Raza
Optical and Quantum Electronics, 2022, 54
[2] Auto-Backlund transformation and soliton-type solutions of the generalized variable-coefficient Kadomtsev-Petviashvili equation
Liu Jian-Guo
Li Ye-Zhou
Wei Guang-Mei
CHINESE PHYSICS LETTERS, 2006, 23 (07) : 1670 - 1673
[3] Painleve integrability, auto-Backlund transformations, new abundant analytic solutions including multi-soliton solutions for time-dependent extended KdV8 equation in nonlinear physics
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[4] An auto-Backlund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications
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Wang, YM
Zhou, YB
PHYSICS LETTERS A, 2002, 303 (01) : 45 - 51
[5] Bilinear auto-Backlund transformations and higher-order breather solutions for the (3+1)-dimensional generalized KdV-type equation
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[6] An auto-Backlund transformation and exact solutions for Wick-type stochastic generalized KdV equations
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[7] New abundant analytic solutions for generalized KdV6 equation with time-dependent variable coefficients using Painleve analysis and auto-Backlund transformation
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Ray, S. Saha
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[8] Bilinear auto-Backlund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves
Shen, Yuan
Tian, Bo
APPLIED MATHEMATICS LETTERS, 2021, 122
[9] A new auto-Backlund transformation and its applications in finding explicit exact solutions for the general KdV equation
Yan, ZY
CHINESE JOURNAL OF PHYSICS, 2002, 40 (02) : 113 - 120
[10] New abundant exact solutions for MCBS-nMCBS equation: Painleve analysis and auto-Backlund transformation
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Ray, Santanu Saha
EPL, 2022, 140 (06)

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