Integration of a nonlinear Hirota type equation with finite density in the class of periodic functions
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Publication:6544168
DOI10.1134/S1995080223100220zbMATH Open1540.35344MaRDI QIDQ6544168
A. Hasanov, R. Eshbekov, Kh. N. Normurodov
Publication date: 27 May 2024
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Dirac operatorspectral datatrace formulasnonlinear Hirota-type equation with finite densitysystem of Dubrovin differential equations
KdV equations (Korteweg-de Vries equations) (35Q53) Sturm-Liouville theory (34B24) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Title not available (Why is that?)
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- Scattering of solitons by dislocations in the modified Korteweg de Vries-sine-Gordon equation
- Solutions of the Ablowitz-Kaup-Newell-Segur hierarchy equations of the ``rogue wave type: a unified approach
- Nonautonomous soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation
- Symmetry reduction and soliton-like solutions for the generalized Korteweg-de Vries equation
- On integration of the loaded mKdV equation in the class of rapidly decreasing functions
- Solvability of the inverse problem for the Dirac system on the whole axis
- Asymptotic behavior of Weyl-Titchmarsh \(m\)-function in the case of the Dirac system
- On the inverse problem for Hill's operator
- The almost-periodicity of infinite-gap potentials of the Dirac operator
- On integration of Korteweg-de Vries equation in a class of rapidly decreasing complex-valued functions
- Two-phase periodic solutions to the AKNS hierarchy equations
- Integration of a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions
- Integration of the nonlinear Korteweg-de Vries equation with an additional term
- Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: general analysis and simplest examples
- Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions
- Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions
- Remarks on the local version of the inverse scattering method
- Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential
- Numerical analysis of soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation
- On the sine-Gordon equation with a self-consistent source corresponding to multiple eigenvalues
- On the inverse problem for a quadratic pencil of Sturm-Liouville operators with periodic potential
- On the sine-Gordon equation with a self-consistent source
- Gaps of one dimensional periodic AKNS systems
- Spectral conservation laws for periodic nonlinear equations of the Melnikov type
- Hill’s surfaces and their theta functions
- Almost Periodic Solutions of the KdV Equation
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
- The inverse problem for periodic potentials
- Method for Solving the Korteweg-deVries Equation
- ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION
- Integrable systems and Riemann surfaces of infinite genus
- EXACT SOLUTIONS OF THE HIROTA EQUATION USING THE SINE-COSINE METHOD
- Real-analytic solutions of the nonlinear Schrödinger equation
- Instability zones of periodic 1-dimensional Schrödinger and Dirac operators
- Borg's Periodicity Theorems for First-Order Self-Adjoint Systems with Complex Potentials
- Inverse problem and estimates for periodic Zakharov-Shabat systems
- The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
- 30 years of finite-gap integration theory
- Integrals of nonlinear equations of evolution and solitary waves
- Exact envelope-soliton solutions of a nonlinear wave equation
- Integration of a defocusing nonlinear Schrödinger equation with additional terms
- Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions
Related Items (2)
On the integration of the hierarchy of the Kaup-Boussinesq system with a self-consistent source ⋮ On the Hirota equation with a self-consistent source
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