Hirota Method - Articles - Scientific Research Publishing

Analytical and Numerical Computations of Multi-Solitons in the Korteweg-de Vries (KdV) Equation (Articles)

Hycienth O. Orapine, Emem Ayankop-Andi, Godwin J. Ibeh

Applied Mathematics Vol.11 No.7, July 9, 2020

DOI: 10.4236/am.2020.117037 946 Downloads 3,082 Views Citations
Soliton Resonances of the Nonisospectral Modified Kadomtsev-Petviashvili Equation (Articles)

Jiaojiao Yan

Applied Mathematics Vol.2 No.6, June 21, 2011

DOI: 10.4236/am.2011.26090 6,487 Downloads 11,268 Views Citations
Homotopy Perturbation Method for the Generalized Hirota-Satsuma Coupled KdV Equation (Articles)

Dalal A. Maturi

Applied Mathematics Vol.3 No.12, December 21, 2012

DOI: 10.4236/am.2012.312273 6,136 Downloads 10,388 Views Citations
The Lump Solutions of the (1 + 1)-Dimensional Ito-Equation (Articles)

Xiangmin Meng, Hongcai Ma

Open Journal of Applied Sciences Vol.9 No.3, March 29, 2019

DOI: 10.4236/ojapps.2019.93011 1,047 Downloads 2,359 Views Citations
Integrability Tests and Some New Soliton Solutions of an Extended Potential Boiti-Leon-Manna-Pempinelli Equation (Articles)

Miao Li, Wei Tan, Houping Dai

Journal of Applied Mathematics and Physics Vol.10 No.10, October 12, 2022

DOI: 10.4236/jamp.2022.1010194 281 Downloads 1,107 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 4,875 Downloads 8,447 Views Citations
The Pfaffian Technique: A (2 + 1)-Dimensional Korteweg de Vries Equation (Articles)

Lixiao Zhai, Junxiao Zhao

Journal of Applied Mathematics and Physics Vol.4 No.10, October 27, 2016

DOI: 10.4236/jamp.2016.410195 1,699 Downloads 3,339 Views Citations
Covariant Prolongation Structure, Conservation Laws and Soliton Solutions of the Gross-Pitaevskii Equation in the Bose-Einstein Condensate (Articles)

Souleymanou Abbagari, Hamadou Halidou, Thomas B. Bouetou, Timoleon C. Kofane

Journal of Applied Mathematics and Physics Vol.5 No.7, July 18, 2017

DOI: 10.4236/jamp.2017.57116 916 Downloads 2,126 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 219 Downloads 915 Views Citations
Breather Solutions and Their Transformation Mechanisms of the (2 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation (Articles)

Xingqi Xiao

Journal of Applied Mathematics and Physics Vol.13 No.3, March 24, 2025

DOI: 10.4236/jamp.2025.133045 84 Downloads 473 Views Citations
Diversity of Soliton Structures in (2 + 1)-Dimensional BKP Equation with Variable Coefficients (Articles)

Keke Chen, Meiling Duan

Journal of Applied Mathematics and Physics Vol.13 No.10, October 28, 2025

DOI: 10.4236/jamp.2025.1310188 47 Downloads 310 Views Citations
High-Order Soliton Solutions and Hybrid Behavior for the (2 + 1)-Dimensional Konopelchenko-Dubrovsky Equations (Articles)

Xingying Li, Yin Ji

Journal of Applied Mathematics and Physics Vol.12 No.7, July 19, 2024

DOI: 10.4236/jamp.2024.127147 123 Downloads 715 Views Citations
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation (Articles)

Magdy Ahmed Mohamed, Mohamed Shibl Torky

American Journal of Computational Mathematics Vol.3 No.3, August 14, 2013

DOI: 10.4236/ajcm.2013.33026 7,816 Downloads 14,212 Views Citations
The Periodic Solitary Wave Solutions for the (2 + 1)-Dimensional Fifth-Order KdV Equation (Articles)

Xianghua Meng

Journal of Applied Mathematics and Physics Vol.2 No.7, June 20, 2014

DOI: 10.4236/jamp.2014.27070 3,579 Downloads 5,441 Views Citations
Diversity of Interaction Solutions to the (2 + 1)-Dimensional Sawada-Kotera Equation (Articles)

Rui Hu

Journal of Applied Mathematics and Physics Vol.6 No.8, August 28, 2018

DOI: 10.4236/jamp.2018.68145 1,058 Downloads 2,556 Views Citations
Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation (Articles)

Jianqing Lü, Sudao Bilige, Xiaoqing Gao, Yuexing Bai, Runfa Zhang

Journal of Applied Mathematics and Physics Vol.6 No.8, August 29, 2018

DOI: 10.4236/jamp.2018.68148 1,343 Downloads 3,320 Views Citations
Mixed Soliton Solutions of MNLS/DNLS Equations Based on Hirota Method (Articles)

Jiarui Hu, Guoquan Zhou

Journal of Applied Mathematics and Physics Vol.13 No.5, May 16, 2025

DOI: 10.4236/jamp.2025.135093 153 Downloads 624 Views Citations
Algorithmic Methods for Concave Optimization Problems (Articles)

Xu Zhang, Xue Tian, Chen Wang, Tao Li

American Journal of Industrial and Business Management Vol.7 No.7, July 19, 2017

DOI: 10.4236/ajibm.2017.77067 1,280 Downloads 2,625 Views Citations
Knowledge and practice of periodic abstinence among women in India (Articles)

Begum Shahina, Dwivedi Sada Nand, Mittal Suneeta, Pandey Arvind

Open Journal of Preventive Medicine Vol.3 No.4, June 26, 2013

DOI: 10.4236/ojpm.2013.34045 5,293 Downloads 7,657 Views Citations
A Comparative Study of Two Spatial Discretization Schemes for Advection Equation (Articles)

Huda O. Bakodah

International Journal of Modern Nonlinear Theory and Application Vol.5 No.1, March 8, 2016

DOI: 10.4236/ijmnta.2016.51006 3,141 Downloads 5,031 Views Citations

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