NLS Equation
Multi-rogue waves solutions to the focusing NLS equation and the KP-I equation
... focusing NLS equation, presenting a profile of multiple rogue ...KP-I equation quite different from the multi-lumps solutions first constructed in Bordag et ...focusing NLS equation is ...
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Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave
... It confirms the conjecture about the shape of the rogue wave in the x t coordinates, the maximum of ampli- tude equal to 2N + 1 = 15 and the degree of polynomials in x and t here equal to 56 as already formulated in [7]. ...
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Nodal solutions of an NLS equation concentrating on lower dimensional spheres
... A question that naturally arises is whether there exists a sequence of nodal solutions to the NLS equation which concentrate around a k-dimensional sphere. In this work we give a positive answer to this ...
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A multisymplectic approach to defects in integrable classical field theory
... the area of integrable defects in classical field theory. We showed the complete equivalence between the usual space canonical approach and new time canonical formulation for NLS equation without a defect. ...
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A multisymplectic approach to defects in integrable classical field theory
... Abstract: We introduce the concept of multisymplectic formalism, familiar in covariant field theory, for the study of integrable defects in 1 + 1 classical field theory. The main idea is the coexistence of two Poisson ...
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AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD
... differential equation of which the explicit solution may be ...differential equation under investigation may reduce to the Korteweg-deVries(KdV) equation, which is ...odinger(NLS) ...
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Concentration of the invariant measure for the periodic Zakharov, KdV and cubic NLS equations in 1D and 2D
... this extends the notion of approximating the solution of a PDE by Fourier partial sums. The lack of smoothness of b(θ) complicates the analysis of the NLS equation in two dimensions, and more drastically in ...
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ANALYTICAL AND NUMERICAL ASPECTS OF THE DISSIPATIVE NONLINEAR SCHRODINGER EQUATION
... odinger equation (d-NLS equation) are ...d-NLS equation is introduced in order to make ...d-NLS equation and the analytical solutions are compared with the numerical ...
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Darboux–Bäcklund transformations, dressing & impurities in multi-component NLS
... Schrödinger equation (NLS) is one of the fundamental equations in mathe- matical physics with numerous applications, ...The NLS equation is an exactly solvable model, and has been integrated ...
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Rogue Waves of the Kundu Nonlinear Schrödinger Equation
... In Section 3, From a periodic seed solution, breather solutions, the first-order rogue wave and higher order rogue wave solutions of the Kundu-NLS equation are given.. The higher order r[r] ...
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Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water
... Equation (47) can also be derived in Eulerian variables. The key idea is to take into consideration a weak shear flow. This approach is similar to the method used in the paper by Hjelmervik and Trulsen (2009), ...
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Optical soliton generation in fiber optics : free & forced nonlinear schrodinger equation
... (NLS) equation describes the phenomena that is very important nowadays; which is the propagation of waves in relation to the design of optical long-distance communications lines and all optical signal ...
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Spontaneous symmetry breaking in the non-linear Schrodinger hierarchy with defect
... scalar NLS model possesses a scalar S-matrix, so that one may wonder whether the concept of RT algebras is still relevant for systems with internal degrees of freedom, ...-component NLS equation with ...
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On the phase dependence of the soliton collisions in the Dyachenko–Zakharov envelope equation
... Euler equation. In this work we focus on the DZ equation in the form suggested by Dyachenko et ...this equation as the Dyachenko–Zakharov envelope equation, or the DZe ...DZ equation ...
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Bargmann Symmetry Constraint and Binary Nonlinearization of Super NLS MKdV Hierarchy
... super NLS-MKdV ...super NLS-MKdV hierarchy, and then obtain super finite di- mensional integrable Hamiltonian hierarchy on the super symmetry manifold , whose integrals of motion are explicitly ...
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Tissue specific genome editing in Ciona embryos by CRISPR/Cas9
... We designed sgRNA vectors targeting exon 9 (Ebf.774 and Ebf.813) and a vector driving nls::Cas9::nls expression using the ubiquitous Eef1a (EF1 α ) promoter (Sasakura et al., 2010). Fertilized eggs ...
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The Fission Yeast Schizosaccharomyces pombe Has Two Importin-α Proteins, Imp1p and Cut15p, Which Have Common and Unique Functions in Nucleocytoplasmic Transport and Cell Cycle Progression
... SV40 NLS fusion protein depended upon both Imp1p and Cut15p: One draw- back of using SV40 NLS-GFP-b-Gal to monitor nuclear protein import in temperature-sensitive mutant cells is that the protein can ...
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2D-3D Enhanced Image Conversion Using NLS Method
... very helpful for real-time applications. However, when they are applied to face recognition, SFS and the 3D morph- able model generally have a better recognition performance than SFM because the information about more ...
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Dissection of a Novel Nuclear Localization Signal in Open Reading Frame 29 of Varicella-Zoster Virus
... We have analyzed the cellular localization patterns of ORF29p during lytic VZV infection and when it is expressed in the absence of other viral proteins. Transfection experiments demonstrate that nuclear import of ORF29p ...
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A synthetic cell-penetrating peptide derived from nuclear localization signal of EPS8 exerts anticancer activity against acute myeloid leukemia
... EPS8 (epidermal growth factor receptor (EGFR) path- way substrate no.8) was first known as a vital substrate for EGFR kinase [3]. EPS8 is efficiently phosphorylated by various tyrosine kinases, both of the receptor (RTK) ...
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