8 Citations
Shifted nonlocal Kundu type equations: Soliton solutions
- MathematicsPartial Differential Equations in Applied Mathematics
- 2022
Soliton solutions of the shifted nonlocal NLS and MKdV equations
- Physics, MathematicsPhysics Letters A
- 2021
Nonlocal $(2+1)$-dimensional Maccari equations
- Mathematics
- 2020
We obtain one-soliton solution of $(2+1)$-dimensional $3$-component Maccari system by Hirota method. Then we find local and nonlocal reductions of this system. By using the Ablowitz-Musslimani…
Multicomponent Fokas–Lenells equations on Hermitian symmetric spaces
- MathematicsNonlinearity
- 2021
Multi-component integrable generalizations of the Fokas–Lenells equation, associated with each irreducible Hermitian symmetric space are formulated. Description of the underlying structures…
Local and nonlocal (2 + 1)-dimensional Maccari systems and their soliton solutions
- Mathematics
- 2020
In this work, by using the Hirota bilinear method, we obtain one- and two-soliton solutions of integrable (2 + 1)-dimensional 3-component Maccari system which is used as a model describing isolated…
References
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Nonlocal Super Integrable Equations
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We present nonlocal integrable reductions of super AKNS coupled equations. By the use of nonlocal reductions of Ablowitz and Musslimani we find new super integrable equations. In particular we…
Integrable nonlocal nonlinear Schrödinger equation.
- Mathematics, PhysicsPhysical review letters
- 2013
A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering transform and…
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Complete integrability of Nonlocal Nonlinear Schr\"odinger equation
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Based on the completeness relation for the squared solutions of the Lax operator $L$ we show that a subset of nonlocal equations from the hierarchy of nonlocal nonlinear Schrodinger equations (NLS)…
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- Mathematics
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Integrable nonlocal complex mKdV equation: soliton solution and gauge equivalence
- Physics, Mathematics
- 2016
In this paper, we prove that the nonlocal complex modified Korteweg-de Vries (mKdV) equation introduced by Ablowitz and Musslimani [Nonlinearity, 29, 915-946 (2016)] is gauge equivalent to a…