Results 11 to 20 of about 2,675 (200)
q-Analog of shock soliton solution [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 By using Jackson's q-exponential function we introduce the generating function, the recursive formulas and the second order q-differential equation for the q-Hermite polynomials. This allows us to solve the q-heat equation in terms of q-Kampe de Feriet polynomials with arbitrary N moving zeroes, and to find operator solution for the Initial Value ...
Nalci, Sengul, Pashaev, Oktay K.
openaire +4 more sources
Universe, 2022 This paper retrieves an optical 1–soliton solution to a model that is written as a concatenation of the Lakshmanan–Porsezian–Daniel model and Sasa–Satsuma equation.
Anjan Biswas +7 more
doaj +1 more source
Soliton molecules and abundant interaction solutions of a general high-order Burgers equation
Results in Physics, 2021 In this work, many kinds of resonant excitations to the N-solitary waves solution are constructed for a (1+1)-dimensional general high-order Burgers (HB) equation.
Gaizhu Qu +4 more
doaj +1 more source
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system
Boundary Value Problems, 2023 In this paper, we investigate the nonlinear coupled discrete Schrödinger equations with unbounded potentials. We find simple sufficient conditions for the existence of discrete soliton solution by using the Nehari manifold approach and the compact ...
Meihua Huang, Zhan Zhou
doaj +1 more source
Cross soliton and breather soliton for the (3+1) $(3+1)$-dimensional Yu–Toda–Sasa–Fukuyama equation
Advances in Difference Equations, 2019 Cross-soliton solution, breather soliton, periodic solitary solution, and doubly periodic solution are obtained by using an extended homoclinic test approach with perturbation parameter u0 $u_{0}$ and complexity of parameters, respectively.
Zhiqiang Pu, Zhigang Pan
doaj +1 more source
Nonlocal-derivative NLS equations and group-invariant soliton solutions
Advances in Difference Equations, 2020 A coupled Chen–Lee–Liu (CLL) system is proposed and its linear Lax pair is given. Many kinds of nonlocal-derivative NLS (DNLS) equations arise from the group symmetry reductions of the coupled CLL system.
Yuqin Yao, Yehui Huang
doaj +1 more source
Soliton solutions for Q3 [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 11 ...
Atkinson, James +2 more
openaire +2 more sources
Kink soliton behavior study for systems with power-law nonlinearity
Results in Physics, 2022 In this study, we investigate the kink soliton dynamics for power-law nonlinear systems. Based on the F-expansion method, we first derive the novel kink soliton solution of the nonlinear Schrödinger equation (NLSE) with third-order dispersion term, power-
Xiaoning Liu +4 more
doaj +1 more source
1D solitons in cubic-quintic fractional nonlinear Schrödinger model
Scientific Reports, 2022 We examine the properties of a soliton solution of the fractional Schrö dinger equation with cubic-quintic nonlinearity. Using analytical (variational) and numerical arguments, we have shown that the substitution of the ordinary Laplacian in the ...
V. A. Stephanovich +3 more
doaj +1 more source
Solitonic solutions and gravitational solitons: an overview
, 2021 In this work we intend to discuss the solitonic solutions of Einstein's field equations in vacuum by constructing the solution to N solitons and studying some aspects of it. In conclusion, it will be shown how the Kerr black hole can be interpreted as a soliton solution in the case of axial symmetry.
openaire +2 more sources