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Showing 1 to 3 of 3 for “"Lax Pairs"”.

  1. On the Cauchy problem for the linearized GPKdV and gauge transformations for a quadratic pencil and AKNS system

    … differential equations. In the first one, Lax pairs associated with prolonged eigenfunctions and prolonged squared eigenfunctions (prolonged squares) are derived for a Schrödinger equation with a potential depending polynomially on the spectral parameter (of degree N) and its respective …

    vt Repository record for On the Cauchy problem for the linearized GPKdV and gauge transformations for a quadratic pencil and AKNS system (opens in a new tab)

  2. An acoustic phonetic analysis of African American English: A comparative study of two dialects

    … length, I rely on data from the front tense/lax vowel pairs, [ i ; ] and [ e ; ] in both dialects. ɪ ɛ I find that vowel length is consistently longer in AAE than in NCS. Additionally, I find that in NCS, the tense/lax pairs maintain a difference in length in which the tense vowels are longer …

    emich Repository record for An acoustic phonetic analysis of African American English: A comparative study of two dialects (opens in a new tab)

  3. Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps

    … of a set of linear equations, the so-called Lax pair, and can be solved via a method related to the Inverse Scattering Transform. Although integrable systems are quite rare, they play an extremely important role in physical applications, including the theory of water waves and optics. The …

    cambridge Repository record for Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps (opens in a new tab)