Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations (Q6102376)

scientific article; zbMATH DE number 7683264

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English	Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations	scientific article; zbMATH DE number 7683264

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instance of

scholarly article

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title

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

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ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

8 May 2023

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zbMATH Keywords

coupled Gerdjikov-Ivanov equations

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conservation laws

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soliton solutions

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modulation instability

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00033-023-01981-3

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cites work

An exact solution for a derivative nonlinear Schrödinger equation

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Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation

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Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation

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The rogue wave and breather solution of the Gerdjikov-Ivanov equation

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The Gerdjikov‐Ivanov–type derivative nonlinear Schrödinger equation: Long‐time dynamics of nonzero boundary conditions

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Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov-Ivanov derivative nonlinear Schrödinger equation

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

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Initial-boundary value problem for the two-component Gerdjikov-Ivanov equation on the interval

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Initial-Boundary Value Problem for Two-Component Gerdjikov–Ivanov Equation with 3 × 3 Lax Pair on Half-Line

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\( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation

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Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation

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Some localized wave solutions for the coupled Gerdjikov-Ivanov equation

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Lie symmetry reductions, power series solutions and conservation laws of the coupled Gerdjikov-Ivanov equation using optimal system of Lie subalgebra

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Lie Symmetry Analysis and Conservation Laws of a Two-Wave Mode Equation for the Integrable Kadomtsev-Petviashvili Equation

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The logarithmic \((1+1)\)-dimensional KdV-like and \((2+1)\)-dimensional KP-like equations: Lie group analysis, conservation laws and double reductions

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A generalized \((1+2)\)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation: multiple exp-function algorithm; conservation laws; similarity solutions

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On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: multiple \(\exp\)-function method

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Existence and uniqueness of global solution of the Hasegawa–Mima equation

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New general interaction solutions to the KPI equation via an optional decoupling condition approach

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Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation

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Double-wave solutions and Lie symmetry analysis to the \((2 + 1)\)-dimensional coupled Burgers equations

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The generalized \((1+1)\)-dimensional and \((2+1)\)-dimensional Ito equations: multiple exp-function algorithm and multiple wave solutions

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Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method

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Q4828547

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Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations

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Near homoclinic orbits of the focusing nonlinear Schrödinger equation

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Modulational instability induced by randomly varying coefficients for the nonlinear Schrödinger equation

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Identifiers

zbMATH Open document ID

1518.37073

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Mathematics Subject Classification ID

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10.1007/S00033-023-01981-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:6102376