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Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation - MaRDI portal

Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation (Q6052464)

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scientific article; zbMATH DE number 7741469

Language	Label	Description	Also known as
English	Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation	scientific article; zbMATH DE number 7741469

Statements

scholarly article

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Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation (English)

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ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

22 September 2023

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zbMATH Keywords

local and nonlocal Lakshmanan-Porsezian-Daniel equations

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Bäcklund transformation

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nonconstant background

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soliton

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breather

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MaRDI profile type

MaRDI publication profile

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions

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Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations

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Integrable Nonlocal Nonlinear Equations

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Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation

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Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy

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Several reverse-time integrable nonlocal nonlinear equations: Rogue-wave solutions

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Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations

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Prohibitions caused by nonlocality for nonlocal Boussinesq‐KdV type systems

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Bifurcation solitons and breathers for the nonlocal Boussinesq equations

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Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform

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Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions

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Transformations between Nonlocal and Local Integrable Equations

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Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations

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Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters

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A Darboux transformation for the Volterra lattice equation

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Darboux transformations of integrable couplings and applications

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Backlund transformations and explicit solutions of certain inhomogeneous nonlinear Schrodinger-type equations

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Periodic-background solutions of Kadomtsev-Petviashvili I equation

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A unified transform method for solving linear and certain nonlinear PDEs

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Riemann-Hilbert method and <i>N</i>-soliton for two-component Gerdjikov-Ivanov equation

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Soliton and breather solutions of the higher-order modified Korteweg-de Vries equation with constants background

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Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves

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On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain

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Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers

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Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation

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Higher-order integrable evolution equation and its soliton solutions

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Higher-order interactional solutions and rogue wave pairs for the coupled Lakshmanan-Porsezian-Daniel equations

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Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation

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Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background

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Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms

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Periodic solutions and Whitham modulation equations for the Lakshmanan-Porsezian-Daniel equation

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Dynamical Behavior of Solution in Integrable Nonlocal Lakshmanan—Porsezian—Daniel Equation

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Darboux transformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation

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Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation

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Inverse scattering transform for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation

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Rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation

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Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

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Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation

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Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation

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Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00033-023-02082-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6052464

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