A note on loop-soliton solutions of the short-pulse equation [PDF]
, 2010 It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition.
E.J. Parkes, Parkes, E.J.
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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
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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
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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
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Soliton solutions for Q3 [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 11 ...
Atkinson, James +2 more
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A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
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Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation
Advances in Mathematical Physics, 2023 The N-soliton solution of the (2+1)-dimensional Sawada-Kotera equation is given by using the Hirota bilinear method, and then, the conjugate parameter method and the long-wave limit method are used to get the breather solution and the lump solution, as ...
Yong Meng
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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]
, 2009 The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
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Defocusing complex short-pulse equation and its multi-dark-soliton solution. [PDF]
Physical Review E, 2015 In this paper, we propose a complex short-pulse equation of both focusing and defocusing types, which governs the propagation of ultrashort pulses in nonlinear optical fibers.
B. Feng, Liming Ling, Zuo-nong Zhu
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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
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