Variable-Coefficient KdV Equation; Lax Pair; Darboux Transformation; Positon; Soliton-Positon - Articles

Nonsingular Positon Solutions of a Variable-Coefficient Modified KdV Equation (Articles)

Yi Lin, Chuanzhong Li, Jingsong He

Open Journal of Applied Sciences Vol.3 No.1B1，July 12, 2013

DOI: 10.4236/ojapps.2013.31B1021 5,464 Downloads 6,805 Views Citations
Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System (Articles)

Tiantian Xu

Applied Mathematics Vol.6 No.1，January 7, 2015

DOI: 10.4236/am.2015.61003 5,755 Downloads 6,960 Views Citations
Doubly and Triply Periodic Waves Solutions for the KdV Equation (Articles)

Ying Huang, Dengguo Xu

Applied Mathematics Vol.4 No.12，November 8, 2013

DOI: 10.4236/am.2013.412216 3,708 Downloads 6,158 Views Citations
N-Fold Darboux Transformation for the Nonlocal Nonlinear Schrödinger (NNLS) Equation with the Self-Induced PT-Symmetric Potential (Articles)

Chaonan Duan, Fajun Yu

Journal of Applied Mathematics and Physics Vol.6 No.4，April 27, 2018

DOI: 10.4236/jamp.2018.64076 834 Downloads 1,663 Views Citations
Integrability, Multi-Solitary Wave Solutions and Riemann Theta Functions Periodic Wave Solutions of the Newell Equation (Articles)

Chunmei Fang

Journal of Applied Mathematics and Physics Vol.10 No.2，February 22, 2022

DOI: 10.4236/jamp.2022.102032 145 Downloads 583 Views Citations
The Modified Kadomtsev-Petviashvili Equation with Binary Bell Polynomials (Articles)

Ningning Hu, Shufang Deng

Journal of Applied Mathematics and Physics Vol.2 No.7，June 17, 2014

DOI: 10.4236/jamp.2014.27065 3,538 Downloads 4,952 Views Citations
Rogue Waves of the Kundu-DNLS Equation (Articles)

Shibao Shan, Chuanzhong Li, Jingsong He

Open Journal of Applied Sciences Vol.3 No.1B1，July 12, 2013

DOI: 10.4236/ojapps.2013.31B1020 5,503 Downloads 7,087 Views Citations
N-Fold Darboux Transformation of the Jaulent-Miodek Equation (Articles)

Guohua Xu

Applied Mathematics Vol.5 No.17，October 9, 2014

DOI: 10.4236/am.2014.517254 3,862 Downloads 4,776 Views Citations
N-Fold Darboux Transformation for a Nonlinear Evolution Equation (Articles)

Yannan Zhao

Applied Mathematics Vol.3 No.8，August 2, 2012

DOI: 10.4236/am.2012.38141 6,688 Downloads 9,372 Views Citations
Rogue Waves of the Kundu-Nonlinear Schrödinger Equation (Articles)

Chengchuang Zhang, Chuanzhong Li, Jingsong He

Open Journal of Applied Sciences Vol.3 No.1B1，July 12, 2013

DOI: 10.4236/ojapps.2013.31B1019 5,244 Downloads 7,205 Views Citations
Darboux Transformation and Exact Solutions for High Order Nonlocal Coupled AKNS System (Articles)

Xiangpeng Xin, Zengxin Guo, Yanxin Hu, Linlin Zhang

Journal of Applied Mathematics and Physics Vol.9 No.11，November 3, 2021

DOI: 10.4236/jamp.2021.911167 211 Downloads 1,325 Views Citations
This article belongs to the Special Issue on Mathematical Logic
An Eight Component Integrable Hamiltonian Hierarchy from a Reduced Seventh-Order Matrix Spectral Problem (Articles)

Savitha Muthanna, Wen-Xiu Ma

Journal of Applied Mathematics and Physics Vol.12 No.6，June 21, 2024

DOI: 10.4236/jamp.2024.126128 35 Downloads 244 Views Citations
Generalized Darboux Transformation and Rational Solutions for the Nonlocal Nonlinear Schrödinger Equation with the Self-Induced Parity-Time Symmetric Potential (Articles)

Jian Chen

Journal of Applied Mathematics and Physics Vol.3 No.5，May 22, 2015

DOI: 10.4236/jamp.2015.35065 3,429 Downloads 4,633 Views Citations
Painlevé Property and Exact Solutions to a (2 + 1) Dimensional KdV-mKdV Equation (Articles)

Yuqing Liu, Fang Duan, Chao Hu

Journal of Applied Mathematics and Physics Vol.3 No.6，June 30, 2015

DOI: 10.4236/jamp.2015.36083 3,514 Downloads 4,738 Views Citations
Peregrine Rogue Waves Generated by the Interaction and Degeneration of Soliton-Like Solutions: Derivative Nonlinear Schrödinger Equation (Articles)

Haoqi Zhou, Shuwei Xu, Maohua Li

Journal of Applied Mathematics and Physics Vol.8 No.12，December 15, 2020

DOI: 10.4236/jamp.2020.812208 481 Downloads 1,355 Views Citations
New Periodic Solitary Wave Solutions for a Variable-Coefficient Gardner Equation from Fluid Dynamics and Plasma Physics (Articles)

Mohamed Aly Abdou

Applied Mathematics Vol.1 No.4，October 29, 2010

DOI: 10.4236/am.2010.14040 6,003 Downloads 10,937 Views Citations
Wronskian and Grammian Solutions for Generalized (n + 1)-Dimensional KP Equation with Variable Coefficients (Articles)

Hongwei Fu, Yang Song, Juan Xu

Applied Mathematics Vol.3 No.2，February 23, 2012

DOI: 10.4236/am.2012.32024 4,687 Downloads 7,873 Views Citations
High-Order Solitons and Hybrid Behavior of (3 + 1)-Dimensional Potential Yu-Toda-Sasa-Fukuyama Equation with Variable Coefficients (Articles)

Xiyu Tan, Xingying Li

Journal of Applied Mathematics and Physics Vol.12 No.8，August 8, 2024

DOI: 10.4236/jamp.2024.128164 89 Downloads 453 Views Citations
Darboux Transformation in Quantum Black-Scholes Hamiltonian and Supersymmetry (Articles)

Jafar Sadeghi, Mohammad Rostami, Ahmad Pourdarvish, Behnam Pourhassan

Open Journal of Microphysics Vol.3 No.2，May 24, 2013

DOI: 10.4236/ojm.2013.32008 3,647 Downloads 6,772 Views Citations
A Neumann System of the Third Order Differential Operator Associated with the Boussinesq Equation (Articles)

Jianli Cao, Jingfang Han

Journal of Applied Mathematics and Physics Vol.8 No.12，December 17, 2020

DOI: 10.4236/jamp.2020.812211 281 Downloads 787 Views Citations

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