Results 11 to 20 of about 47,915 (224)
Soliton equations exhibiting Pfaffian solutions [PDF]
Glasgow Mathematical Journal, 2001 Soliton equations whose solutions are expressed by Pfaffians are briefly discussed. Included are a discrete-time Toda equation of BKP type, a modified Toda equation of BKP type, a coupled modified KdV equation and a coupled modified KdV equation of derivative type.
Hirota, Ryogo +2 more
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SOLITONS AND ADS STRING SOLUTIONS [PDF]
International Journal of Modern Physics A, 2008 In this contribution we describe some soliton based techniques for generating classical AdS string solutions. The methods introduced are useful for further understanding of rotating AdS configurations with spikes which correspond to higher twist operators in SYM theory.
Jevicki, Antal, Jin, Kewang
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Zero rest mass soliton solutions [PDF]
Physica Scripta, 2019 In this paper, extended Klein-Gordon field systems will be introduced. Theoretically, it will be shown that for a special example of these systems, it is possible to have a single zero rest mass soliton solution, which is forced to move at the speed of light provided it is considered a non-deformed rigid object.
M Mohammadi, R Gheisari
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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.
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From rogue wave solution to solitons
Physical Review E, 2023 Using a generalized nonlinear Schrödinger equation, we investigate the transformation of a fundamental rogue wave solution to a collection of solitons. Taking the third-order dispersion, self-steepening, and Raman-induced self-frequency shift as the generalizing effects, we systematically observe how a fundamental rogue wave has an impact on its ...
Amdad Chowdury +2 more
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Soliton solutions for Q3 [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We construct N-soliton solutions to the equation called Q3 in the recent Adler-Bobenko-Suris classification. An essential ingredient in the construction is the relationship of $(Q3)_{ =0}$ to the equation proposed by Nijhoff, Quispel and Capel in 1983 (the NQC equation).
Atkinson, James +2 more
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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
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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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