Results 21 to 30 of about 133,722 (289)
Discrete Dynamics in Nature and Society, 2012 We find an interesting phenomenon that the discrete system appearing in a reference can be reduced to the old integrable system given by Merola, Ragnisco, and Tu in another reference.
Xianbin Wu, Weiguo Rui, Xiaochun Hong
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Power series reversion and exact solutions of nonlinear mathematical physics equations [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаPurpose. Develop a new method for finding exact solutions to equations of nonlinear mathematical physics. Methods. The partial sum of a perturbation series, written for the original nonlinear equation, is represented as a power series in powers of the ...
Zemlyanukhin, Aleksandr Isaevich +3 more
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On the complete integrability of an equation having solitons but not known to have a Lax pair
International Journal of Mathematics and Mathematical Sciences, 1986 It is usually assumed that a system having N-soliton solutions is completely integrable. Here we have analyzed a set of equations occuring in case of capillary gravity waves.
A. Roychowdhury, G. Mahato
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Integrable Solutions of a Functional-Integral Equation
Revista Matemática Complutense, 1989 Under certain assumptions on the functions f,g,k the authors prove that the functional-integral equation \[ x(t)=g(t)+f(t,\int^{1}_{0}k(t,s)x(\phi (s))ds), \] \(t\in [0,1)\) has at least one solution \(x\in L^ 1[0,1]\), which is a.e. nonincreasing on \(L^ 1[0,1]\).
Banaś, Józef, Knap, Zygmunt
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Neumann–Rosochatius system for (m,n) string in $$AdS_3 \times S^3$$ A d S 3 × S 3 with mixed flux
European Physical Journal C: Particles and Fields, 2021 $$SL(2,{\mathbb {Z}})$$ S L ( 2 , Z ) invariant action for probe (m, n) string in $$AdS_3\times S^3\times T^4$$ A d S 3 × S 3 × T 4 with mixed three-form fluxes can be described by an integrable deformation of an one-dimensional Neumann–Rosochatius (NR ...
Adrita Chakraborty, Kamal L. Panigrahi
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dbar-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy [PDF]
, 2001 It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal Whitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane.
Ahlfors +26 more
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The existence and convergence of the periodic solution of the system of complementary equations - nonlinear differential of the second class type Volterra [PDF]
مجلة التربية والعلم, 2006 In this paper we study the existence and approximation of the periodic solutions for system of nonlinear integro-differential equations of Volterra type by Lebesque integrable function, By using weaker conditions of the function F(t,s,x,x) to be ...
Raad Petrus, Ghada Jameel
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Quasiclassical Geometry and Integrability of AdS/CFT Correspondence [PDF]
, 2004 We discuss the quasiclassical geometry and integrable systems related to the gauge/string duality. The analysis of quasiclassical solutions to the Bethe anzatz equations arising in the context of the AdS/CFT correspondence is performed, compare to ...
Marshakov, A.
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Constraints and Soliton Solutions for the KdV Hierarchy and AKNS Hierarchy [PDF]
, 2010 It is well-known that the finite-gap solutions of the KdV equation can be generated by its recursion operator.We generalize the result to a special form of Lax pair, from which a method to constrain the integrable system to a lower-dimensional or fewer ...
C.W. Cao +6 more
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Advances in Mathematical Physics, 2022 A determinant representation of the n-fold Darboux transformation for the integrable nonlocal derivative nonlinear Schödinger (DNLS) equation is presented.
Yali Shen, Ruoxia Yao
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