Results 11 to 20 of about 1,458 (45)
Extended Camassa-Holm Hierarchy and Conserved Quantities [PDF]
, 2006 An extension of the Camassa-Holm hierarchy is constructed in this letter. The conserved quantities of the hierarchy are studied and a recurrent formula for the integrals of motion is derived.Comment: 13 ...
Ivanov, Rossen I.
core +5 more sources
Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G'/G)-expansion method. [PDF]
Springerplus, 2014 Exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the internal mechanism of complex physical phenomena. In this work, the exact traveling wave solutions of the Boussinesq equation is studied by using the new generalized
Alam MN, Akbar MA, Roshid HO.
europepmc +2 more sources
Spatially Extended Relativistic Particles Out of Traveling Front Solutions of Sine-Gordon Equation in (1+2) Dimensions. [PDF]
PLoS One, 2016 Slower-than-light multi-front solutions of the Sine-Gordon in (1+2) dimensions, constructed through the Hirota algorithm, are mapped onto spatially localized structures, which emulate free, spatially extended, massive relativistic particles.
Zarmi Y.
europepmc +2 more sources
Assessment of the further improved (G'/G)-expansion method and the extended tanh-method in probing exact solutions of nonlinear PDEs. [PDF]
Springerplus, 2013 The (G'/G)-expansion method is one of the most direct and effective method for obtaining exact solutions of nonlinear partial differential equations (PDEs).
Akbar MA, Ali NH, Mohyud-Din ST.
europepmc +2 more sources
Solitons, Rogues and Interaction Behaviors of Third-Order Nonlinear Schrodinger Equation
, 2022 In this paper, we investigate the third-order nonlinear Schr\"{o}dinger equation which is used to describe the propagation of ultrashort pulses in the subpicosecond or femtosecond regime.
Ren Bo +5 more
semanticscholar +1 more source
BCS-to-BEC crossover from the exact BCS solution [PDF]
, 2005 5 pages, 1 table, 4 figures.--PACS nrs.: 03.75.Ss, 02.30.Ik, 05.30.Fk, 74.20.Fg.--Arxiv pre-print available at: http://arxiv.org/abs/cond-mat ...
Gerardo Rodríguez Ortíz, J. Dukelsky
semanticscholar +1 more source
Squared Eigenfunction Symmetries for the BTL and CTL Hierarchies [PDF]
, 2013 In this paper, the squared eigenfunction symmetries for the BTL and CTL hierarchies are explicitly constructed with the suitable modification of the ones for the TL hierarchy, by considering the BTL and CTL constraints.
Jipeng Cheng, Jingsong He
semanticscholar +1 more source
, 2014 In this paper we apply the improved Riccati equation mapping method to construct many families of exact solutions of a nonlinear partial differential equation involving parameters of a special interest in nanobiosciences and biophysics which describe a ...
E. Zayed, Y. A. Amer, R. Shohib
semanticscholar +1 more source
The Darboux Transformation for a New Fractional Schrödinger Equation Hierarchy
Advances in Mathematical PhysicsIt is well established that many integrable soliton equations can be constrained from the famous AKNS system. In this paper, aiming to generate new integrable soliton equations, the potentials of the AKNS system are constrained to a pair of fractional ...
Xiao-ming Zhu +2 more
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, 2014 A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras.
Fucai You, Jiao-Ling Zhang, Yan Zhao
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