Hirota Bilinear Method - Articles - Scientific Research Publishing

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 6,435 Downloads 11,184 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 1,011 Downloads 2,288 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 236 Downloads 1,011 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 4,834 Downloads 8,365 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 1,675 Downloads 3,282 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 879 Downloads 2,045 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 184 Downloads 842 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 62 Downloads 407 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 33 Downloads 257 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 116 Downloads 679 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 3,534 Downloads 5,323 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 1,043 Downloads 2,509 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 1,296 Downloads 3,224 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 121 Downloads 558 Views Citations
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 919 Downloads 3,001 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 6,068 Downloads 10,270 Views Citations
The Rational Solutions and the Interactions of the N-Soliton Solutions for Boiti-Leon-Manna-Pempinelli-Like Equation (Articles)

Xiuxiu Liu, Huanhe Dong, Yong Zhang, Xin Chen

Journal of Applied Mathematics and Physics Vol.5 No.3, March 31, 2017

DOI: 10.4236/jamp.2017.53059 1,503 Downloads 3,020 Views Citations
N-Rotating Loop-Soliton Solution of the Coupled Integrable Dispersionless Equation (Articles)

Souleymanou Abbagari, Saliou Youssoufa, Hermann T. Tchokouansi, Victor K. Kuetche, Thomas B. Bouetou, Timoleon C. Kofane

Journal of Applied Mathematics and Physics Vol.5 No.6, June 29, 2017

DOI: 10.4236/jamp.2017.56113 1,265 Downloads 2,510 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 3,692 Downloads 5,257 Views Citations
Fuzzy Varying Coefficient Bilinear Regression of Yield Series (Articles)

Ting He, Qiujun Lu

Journal of Data Analysis and Information Processing Vol.3 No.3, July 29, 2015

DOI: 10.4236/jdaip.2015.33006 3,475 Downloads 4,345 Views Citations

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