Работы, на которые ссылается эта работа

Работ: 58

Работа: Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions

30 years of finite-gap integration theory
V. B. Matveev
Статья2007Цитирований: 15
ABI
Cauchy Problem for the Korteweg–De Vries Equation in the Class of Periodic Infinite-Gap Functions
А. Б. Хасанов, T. G. Khasanov
СтатьяNonlinear Waves and SolitonsJournal of Mathematical Sciences2024Цитирований: 14
ABI
Exact envelope-soliton solutions of a nonlinear wave equation
Ryogo Hirota
Статья1973Цитирований: 14
ABI
On the sine-Gordon equation with a self-consistent source
А. Б. Хасанов, G. U. Urazboev
СтатьяNonlinear Waves and SolitonsSiberian Advances in Mathematics2009Цитирований: 14
ABI
Inverse problem and estimates for periodic Zakharov-Shabat systems
Evgeny Korotyaev
Статья2005Цитирований: 13
ABI
Integration of a Nonlinear Korteweg–de Vries Equation with a Loaded Term and a Source
А. Б. Хасанов, T. G. Khasanov
СтатьяNonlinear Waves and SolitonsJournal of Applied and Industrial Mathematics2022Цитирований: 12
ABI
Remarks on the local version of the inverse scattering method
A. V. Domrin
Статья2006Цитирований: 12
ABI
PERIODIC AND CONDITIONALLY PERIODIC ANALOGS OF THE MANY-SOLITON SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION
Boris Dubrovin, S P Novikov
Статья1974Цитирований: 11
ABI
Asymptotic behavior of Weyel-Titchmarsh m-function in the case of the Dirac system
Arthur A. Danielyan, B. M. Levitan, А. Б. Хасанов
Статья1991Цитирований: 11
ABI
The Cauchy Problem for the Defocusing Nonlinear Schrödinger Equation with a Loaded Term
Ulugbek Muminov, А. Б. Хасанов
СтатьяNonlinear Waves and SolitonsSiberian Advances in Mathematics2022Цитирований: 10
ABI
Solutions of the Ablowitz–Kaup–Newell–Segur hierarchy equations of the “rogue wave” type: A unified approach
V. B. Matveev, A. O. Smirnov
Статья2016Цитирований: 10
ABI
On the Inverse Problem for a Quadratic Pencil of Sturm-Liouville Operators with Periodic Potential
B. A. Babadzhanov, А. Б. Хасанов, A. B. Yakhshimuratov
СтатьяSpectral Theory in Mathematical PhysicsDifferential Equations2005Цитирований: 10
ABI
Hill’s surfaces and their theta functions
H. P. McKean, Eugene Trubowitz
Статья1978Цитирований: 9
ABI
Sturm-Liouville Operators and Applications
V. А. Marchenko
Книга1986Цитирований: 9
ABI
Foliation of phase space for the cubic nonlinear Schrödinger equation
D. Bättig, Benoît Grébert, J. C. Guillot +1
Статья1993Цитирований: 9
ABI
Integration Of A Higher-Order Nonlinear SchröDinger System with a Self-Consistent Source in the Class of Periodic Functions
A. B. Yakhshimuratov
СтатьяDifferential Equations and Numerical MethodsTheoretical and Mathematical Physics2020Цитирований: 9
ABI
The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
Deng-yuan Chen, Da‐jun Zhang, Shu-fang Deng
Статья2002Цитирований: 9
ABI
Effect of Weak Dislocation Potential on Nonlinear Wave Propagation in Anharmonic Crystal
Kimiaki Konno, Wataru Kameyama, Heiji Sanuki
Статья1974Цитирований: 9
ABI
<i>N</i>-soliton solutions for the integrable modified KdV-sine-Gordon equation
Abdul–Majid Wazwaz
Статья2014Цитирований: 8
ABI
Two-Phase Periodic Solutions to the AKNS Hierarchy Equations
V. B. Matveev, A. O. Smirnov
Статья2019Цитирований: 8
ABI
Real-analytic solutions of the nonlinear Schrödinger equation
A. V. Domrin
Статья2014Цитирований: 7
ABI
Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation
Yongsheng Tao, Jingsong He
Статья2012Цитирований: 6
ABI
Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples
V. B. Matveev, A. O. Smirnov
Статья2020Цитирований: 6
ABI
Numerical analysis of soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation
С. П. Попов
Статья2015Цитирований: 6
ABI
Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation
С. П. Попов
Статья2015Цитирований: 6
ABI