Results 181 to 190 of about 14,785 (196)

Generalized χ-dependent Hirota equation: singularity structure, Bäcklund transformation and soliton solutions

Physics Letters A, 1991
Abstract We point out how the singularity structure analysis of solutions of the generalized χ-dependent Hirota equation systematically provides the integrability aspects of the equation. The Lax pair, Backlund transformation and soliton solutions are constructed from the analysis.
K. Porsezian, M. Daniel, R. Bharathikannan   +2 more
openaire   +1 more source

Four (2+1)-dimensional integrable extensions of the KdV equation: Multiple-soliton and multiple singular soliton solutions

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Exploring the dark and singular soliton solutions of Biswas–Arshed model with full nonlinear form

Optik, 2020
Abstract In this paper, the optical solitons of two nonlinear forms, namely Kerr type and power law form, of Biswas–Arshed model are studied. To construct optical solitary wave solutions of the aforementioned model, the modified extended tanh expansion method was used successful.
Asim Zafar, M. Raheel, Ahmet Bekir
openaire   +1 more source

Singular and non-topological soliton solutions for nonlinear fractional differential equations

Chinese Physics B, 2015
In this article, the fractional derivatives are described in the modified Riemann–Liouville sense. We propose a new approach, namely an ansatz method, for solving fractional differential equations (FDEs) based on a fractional complex transform and apply it to solve nonlinear space–time fractional equations.
openaire   +1 more source

Singular 1-soliton solution of the nonlinear variable-coefficient diffusion reaction and mKdV equations

AIP Conference Proceedings, 2017
In this paper, we pay attention to the analytical method named, ansatz method for finding the exact solutions of the variable-coefficient modified KdV equation and variable coefficient diffusion-reaction equation. As a result the singular 1-soliton solution is obtained.
ÇEVİKEL, ADEM CENGİZ, GÜNER, ÖZKAN, BEKİR, AHMET, ÜNSAL, ÖMER   +3 more
openaire   +3 more sources

(2+1)-Dimensional mKdV (N) equations by the mKdV recursion operator: Multiple soliton and multiple singular soliton solutions

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity

Frontiers of Mathematics in China, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Ming, Liu, Zhengrong, Zerrad, Essaid, Biswas, Anjan   +3 more
openaire   +1 more source

Optical dark and dark-singular soliton solutions of (1+2)-dimensional chiral nonlinear Schrodinger’s equation

Waves in Random and Complex Media, 2018
In this study, the dynamical analysis of optical dark and singular solitons is carried out for chiral (1+2)-dimensional nonlinear Schrodinger’s equation with the implementation of extended direct a...
Nauman Raza, Ahmad Javid
openaire   +1 more source

Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz–Ladik equation of reverse-space type

Applied Mathematics Letters, 2021
Wen xiaoyong
exaly  

Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method

Results in Physics, 2021
M Ali Akbar, Lanre Akinyemi, Shao-Wen Yao   +2 more
exaly