Results 71 to 80 of about 817 (182)

Novel multi-soliton solutions of the breaking soliton equation

Acta Physica Sinica, 2003
Hirota bilinear method is a very effective method for solving nonlinear evolution equations. In this paper, by further generalizing this method, we obtain novel multi-soliton solutions of (2+1)-dimensional breaking soliton equation.
null Zhang Jie-Fang, null Guo Guan-Ping
openaire   +1 more source

A new investigation of the extended Sakovich equation for abundant soliton solution in industrial engineering via two efficient techniques

Open Physics
Soliton solutions play a crucial role in modeling stable phenomena across optical communications, fluid dynamics, and plasma physics, owing to their stability and persistence in solving nonlinear equations.
Hossain Md Nur, Rasid Md Mamunur, Abouelfarag I., El-Rashidy K., Miah M. Mamun, Kanan Mohammad   +5 more
doaj   +1 more source

Mathematical modeling of influence of multiplicative white noise on dynamical soliton solutions in the KdV equation

Mathematics Open
This study investigates the impact of multiplicative white noise on soliton solutions of the Korteweg–de Vries (KdV) equation, a classical model for nonlinear wave propagation.
Abaker A. Hassaballa, Mehmet Yavuz, Gassan A. M. O. Farah, Fatimah A. Almulhim, Sayed Abdel-Khalek, Emad A.-B. Abdel-Salam   +5 more
doaj   +1 more source

Optimizing Optical Fiber Communications: Bifurcation Analysis and Soliton Dynamics in the Quintic Kundu–Eckhaus Model

Fractal and Fractional
This paper investigates the bifurcation dynamics and optical soliton solutions of the integrable quintic Kundu–Eckhaus (QKE) equation with an M-fractional derivative.
Abdelhamid Mohammed Djaouti, Md. Mamunur Roshid, Harun-Or Roshid, Ashraf Al-Quran   +3 more
doaj   +1 more source

Multi-soliton solutions in the chiral quark soliton model

, 2004
59 pages, 11 figures; invited paper for "Progress in Soliton Research", Nova Science Publishers (NY)
Sawado, Nobuyuki, Shiiki, Noriko
openaire   +2 more sources

Multi-Soliton Propagation and Interaction in Λ-Type EIT Media: An Integrable Approach

Photonics
Electromagnetically induced transparency (EIT) is well known as a quantum optical phenomenon that permits a normally opaque medium to become transparent due to the quantum interference between transition pathways.
Ramesh Kumar Vaduganathan, Prasanta K. Panigrahi, Boris A. Malomed   +2 more
doaj   +1 more source

The nonlinear Dirac equation in Bose–Einstein condensates: I. Relativistic solitons in armchair nanoribbon optical lattices

New Journal of Physics, 2015
We present a thorough analysis of soliton solutions to the quasi-one-dimensional (quasi-1D) nonlinear Dirac equation (NLDE) for a Bose–Einstein condensate in a honeycomb lattice with armchair geometry.
L H Haddad, C M Weaver, Lincoln D Carr
doaj   +1 more source

Multi-Soliton Solutions for the Combined KdV–mKdV Equation in Terms of Wronskian with Multi-Wave and Periodic Cross-Kink Dynamics

Mathematics
This article examines the integrability of the combined KdV-mKdV equation, which provides an effective framework for modeling coherent structures in turbulent flows.
Reem Abdullah Aljethi, Nida Raees, Irfan Mahmood, Ejaz Hussain   +3 more
doaj   +1 more source

Multi-Soliton, Soliton–Cnoidal, and Lump Wave Solutions for the Supersymmetric Boussinesq Equation

Mathematics
Based on the bosonization approach, the supersymmetric Boussinesq equation is converted into a coupled bosonic system. The symmetry group and the commutation relations of the corresponding bosonic system are determined through the Lie point symmetry ...
Peng-Fei Wei, Hao-Bo Zhang, Ye Liu, Si-Yu Lin, Rui-Yu Chen, Zi-Yi Xu, Wan-Li Wang, Bo Ren   +7 more
doaj   +1 more source

MULTI-SOLITON SOLUTIONS OF THE GENERALIZED WEIERSTRASS SYSTEM [PDF]

Nonlinearity, Integrability and All That, 2000
P. BRACKEN, A. M. GRUNDLAND
openaire   +1 more source