Results 111 to 120 of about 9,651 (149)

Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials

Communications in Nonlinear Science and Numerical Simulation, 2016
Based on binary Bell polynomial approach, the bilinear equation and B a ¨ cklund transformations for (3+1)-dimensional Jimbo–Miwa equation are obtained.
Manjit Singh, Rajesh Kumar Gupta
semanticscholar   +3 more sources

Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation

Nonlinear Dynamics, 2015
Liu Na
semanticscholar   +4 more sources

Integrability and soliton interaction of a resonant nonlinear Schrödinger equation via binary Bell polynomials

Nonlinear Analysis: Real World Applications, 2013
Min Li, Jinghua Xiao, T. Yan, B. Tian
semanticscholar   +3 more sources

Abundant interaction between lump and k-kink, periodic and other analytical solutions for the (3+1)-D Burger system by bilinear analysis

International Journal of Modern Physics B, 2021
In this paper, we study the (3+1)-dimensional Burger system which is considered in soliton theory and generated by considering the Hirota bilinear operators.
Na Zhao, J. Manafian, O. Ilhan, Gurpreet Singh, Rana Zulfugarova   +4 more
semanticscholar   +1 more source

Newly exploring the Lax pair, bilinear form, bilinear Bäcklund transformation through binary Bell polynomials, and analytical solutions for the (2 + 1)-dimensional generalized Hirota–Satsuma–Ito equation

The Physics of Fluids, 2023
The (2+1)-dimensional generalized Hirota–Satsuma–Ito equation describing the numerous wave dynamics in shallow waters is investigated in this study. The integrable characteristics of the aforesaid equation, such as a bilinear Bäcklund transformation and ...
Shailendra Singh, S. Saha Ray
semanticscholar   +1 more source

High-Dimensional Unbalanced Binary Classification by Genetic Programming with Multi-Criterion Fitness Evaluation and Selection

Evolutionary Computation, 2021
High-dimensional unbalanced classification is challenging because of the joint effects of high dimensionality and class imbalance. Genetic programming (GP) has the potential benefits for use in high-dimensional classification due to its built-in ...
Wenbin Pei, Bing Xue, L. Shang, Mengjie Zhang   +3 more
semanticscholar   +1 more source

Multiple localized waves to the (2+1)-dimensional shallow water waveequation on non-flat constant backgrounds and their applications

Physica Scripta
In this paper, a new general bilinear Bäcklund transformation and Lax pair for the (2+1)-dimensional shallow water wave equation are given in terms of the binary Bell polynomials. Based on this transformation along with introducing an arbitrary function,
Yulei Cao, H. Tian, B. Ghanbari, Zhao Zhang   +3 more
semanticscholar   +1 more source