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Lax hierarchy, Solitons, Sumrules and a dual Lax hierarchy
Published 2013“…It is shown that a set of functions which characterise the Lax hierarchy of non-linear equations may be represented in terms of the eigenstates of the potential which satisfies the generalised KdV equation. …”
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On the Erdős–Lax Inequality
Published 2022-09-01“…The Erdős–Lax Theorem states that if $P(z)=\sum _{\nu =1}^n a_{\nu }z^{\nu }$ is a polynomial of degree $n$ having no zeros in $|z|<1,$ then \begin{equation} \max _{|z|=1}|P^{\prime }(z)|\le \frac{n}{2}\max _{|z|=1}|P(z)|. …”
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Formal Diagonalisation of Lax-Darboux Schemes
Published 2015-12-01“…We discuss the concept of Lax-Darboux scheme and illustrate it on well known examples associated with the Nonlinear Schro¨dinger (NLS) equation. …”
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Finite volume schemes and Lax–Wendroff consistency
Published 2022-10-01Subjects: Get full text
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Lax pairs for string Newton Cartan geometry
Published 2020-05-01“…In this paper, based on a systematic formulation of Lax pairs, we show classical integrability for nonrelativistic strings propagating over stringy Newton-Cartan (NC) geometry. …”
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On <i>Gente indipendente</i> by Halldór Laxness
Published 2012-11-01“…Gente indipendente by Halldór Laxness is an exception. In Gente indipendente the power of natural processes is predominant, incomparable to the power it has in any other modern novel; and the practices resulting from interaction between humans have a secondary role.…”
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Guardian of Memory: Halldór Laxness, Saga Editor
Published 2019-12-01“… ABSTRACT: During the 1940s the Icelandic novelist Halldór Laxness embarked on a project to oversee the publication of five medieval sagas. …”
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Lax orthogonal factorisations in monad-quantale-enriched categories
Published 2017-09-01“…We show that, for a quantale $V$ and a $\mathsf{Set}$-monad $\mathbb{T}$ laxly extended to $V$-$\mathsf{Rel}$, the presheaf monad on the category of $(\mathbb{T},V)$-categories is simple, giving rise to a lax orthogonal factorisation system (lofs) whose corresponding weak factorisation system has embeddings as left part. …”
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SYMMETRIES AND LAX INTEGRABILITY OF THE GENERALIZED PROUDMAN-JOHNSON EQUATION
Published 2017-05-01“…This property is referred to as a Lax integrability.…”
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A Lax Formalism for the Elliptic Difference Painlevé Equation
Published 2009-04-01Subjects: Get full text
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Parametric evolution, addition of boundstates and generalised Lax hierarchies
Published 2013“…The connection of the 'time' evolution of the eigenstates of the reflectionless potentials of the Lax hierarchy to the more general case of the 'time' evolution of the eigenstates of the Schroedinger equation for potentials with non-vanishing reflection coefficients is explored. …”
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Temperature dependence of the electrical resistivity of LaxLu1-xAs
Published 2013-08-01“…We investigate the temperature-dependent resistivity of single-crystalline films of LaxLu1-xAs over the 5–300 K range. The resistivity was separated into lattice, carrier and impurity scattering regions. …”
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Characteristic Logics for Behavioural Hemimetrics via Fuzzy Lax Extensions
Published 2022-06-01“…Our central result then shows that in fact all fuzzy lax extensions are Kantorovich extensions for a suitable set of quantitative modalities, the so-called Moss modalities. …”
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A Lax type operator for quantum finite W-algebras
Published 2021“…For a reductive Lie algebra g, its nilpotent element f and its faithful finite dimensional representation, we construct a Lax operator L(z) with coefficients in the quantum finite W-algebra W(g, f). …”
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