Results 21 to 30 of about 3,422,090 (230)
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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Explicit Soliton Structure Formation for the Riemann Wave Equation and a Sensitive Demonstration
Fractal and Fractional, 2023 The motive of the study was to explore the nonlinear Riemann wave equation, which describes the tsunami and tidal waves in the sea and homogeneous and stationary media. This study establishes the framework for the analytical solutions to the Riemann wave
Sheikh Zain Majid +4 more
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Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
Advances in Mathematical Physics, 2021 By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space.
Na Xiong, Ya-Xuan Yu, Biao Li
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The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation
Advances in Mathematical Physics, 2021 A general coupled KdV equation, which describes the interactions of two long waves with different dispersion relation, is considered. By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton ...
Changhao Zhang, Guiying Chen
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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
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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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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
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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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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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