Litcius/Paper detail

Soliton hierarchies and soliton solutions of type (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si1.svg"><mml:mrow><mml:mo>−</mml:mo><mml:msup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e35" altimg="si2.svg"><mml:mrow><mml:mo>−</mml:mo><mml:mi>λ</mml:mi></mml:mrow></mml:math> ) reduced nonlocal nonlinear Schrödinger equations of arbitrary even order

Wen‐Xiu Ma

2023Partial Differential Equations in Applied Mathematics23 citationsDOIOpen Access PDF

Abstract

We present mixed-type reduced soliton hierarchies of nonlocal integrable nonlinear Schrödinger equations of arbitrary even order by conducting two nonlocal group reductions for the Ablowitz–Kaup–Newell–Segur matrix spectral problems. Based on specific distributions of eigenvalues and adjoint eigenvalues, we construct soliton solutions by solving the corresponding reflectionless generalized Riemann–Hilbert problems, where eigenvalues could equal adjoint eigenvalues.

Topics & Concepts

Eigenvalues and eigenvectorsSolitonIntegrable systemType (biology)Order (exchange)Mathematical physicsMathematicsPhysicsNonlinear systemQuantum mechanicsEconomicsFinanceBiologyEcologyNonlinear Waves and SolitonsNonlinear Photonic SystemsQuantum Mechanics and Non-Hermitian Physics
Soliton hierarchies and soliton solutions of type (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si1.svg"><mml:mrow><mml:mo>−</mml:mo><mml:msup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e35" altimg="si2.svg"><mml:mrow><mml:mo>−</mml:mo><mml:mi>λ</mml:mi></mml:mrow></mml:math> ) reduced nonlocal nonlinear Schrödinger equations of arbitrary even order | Litcius