
T (+98) 23 352 20220
Email: international@du.ac.ir
Damghan University
University Blvd, Damghan, IR
Associate Professor of Pure Mathematics
High Dimensional Nonlinear Dispersive Models
Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro, RJ – Brasil
The Green functions and (non)-existence of biharmonic problems at critical growth
Sharif University of Technology, Tehran, Iran
Mathematics
Damghan University, Damghan, Iran
DOI: 10.1016/j.chaos.2018.12.013
AUTHOR KEYWORDS: Positive and nodal solutions; Potential BO-ZK equation; Variational method
INDEX KEYWORDS: Existence of Solutions; External potential; Nodal solutions; Nonlocal problems; Potential BO-ZK equation; Sign changing solutions; Variational methods, Mathematical techniques
PUBLISHER: Elsevier Ltd
DOI: 10.1016/j.nonrwa.2018.05.011
AUTHOR KEYWORDS: Besov–Bourgain space; Cauchy problem; Critical regularity; OST equation
INDEX KEYWORDS: Initial value problems, Cauchy problems; Critical regularity; OST equation; Wellposedness, Sobolev spaces
PUBLISHER: Elsevier Ltd
DOI: 10.1016/j.jde.2018.06.023
AUTHOR KEYWORDS: KdV system with rotation; Orbital stability; Solitary waves; Variational problems
PUBLISHER: Academic Press Inc.
DOI: 10.1007/s13398-017-0435-2
AUTHOR KEYWORDS: BO-ZK operator; Positive and nodal solutions; Variational method
PUBLISHER: Springer-Verlag Italia s.r.l.
DOI: 10.1007/s00526-018-1383-1
PUBLISHER: Springer New York LLC
DOI: 10.1007/s00605-018-1195-6
AUTHOR KEYWORDS: BO–ZK operator; Half plane; Integral equation; Nonexistence
PUBLISHER: Springer-Verlag Wien
DOI: 10.1007/s00574-017-0034-z
AUTHOR KEYWORDS: Dispersive-dissipative models; Ill-posedness; Initial value problem; KdV equation; Well-posedness
PUBLISHER: Springer New York LLC
DOI: 10.3846/13926292.2017.1319882
AUTHOR KEYWORDS: asymptotic behavior; dissipative Boussinesq equation; Sobolev spaces
PUBLISHER: Taylor and Francis Ltd.
DOI: 10.1016/j.indag.2017.01.008
AUTHOR KEYWORDS: BO–ZK operator; Integral equation; Regularity
PUBLISHER: Elsevier B.V.
DOI: 10.1007/s00574-016-0017-5
AUTHOR KEYWORDS: BO-ZK equation; Fractional Sobolev-Liouville inequality; Gagliardo–Nirenberg inequality
PUBLISHER: Springer New York LLC
DOI: 10.1137/16M1103865
AUTHOR KEYWORDS: Rotating uid; Solitary waves; Stability; Variational method
INDEX KEYWORDS: Convergence of numerical methods; Iterative methods; Stability, Iteration method; Rotating uid; Scaling invariance; Soli-tary wave solutions; Variational methods; Weak rotation, Solitons
PUBLISHER: Society for Industrial and Applied Mathematics Publications
DOI: 10.1007/s00033-015-0586-y
AUTHOR KEYWORDS: Anisotropic Gagliardo-Nirenberg inequality; Sharp constant; Sobolev-Liouville spaces
INDEX KEYWORDS: Ground state, Fractional derivatives; Non-local equations, Anisotropy
PUBLISHER: Birkhauser Verlag AG
PUBLISHER: Khayyam Publishing
DOI: 10.1016/j.na.2014.02.006
AUTHOR KEYWORDS: Almost conservation law; Boussinesq equation; Global rough solution; Modified energy functional
INDEX KEYWORDS: Boussinesq equations; Cauchy problems; Conservation law; Cubic nonlinearities; Energy functionals, Nonlinear analysis, Mathematical techniques
DOI: 10.1504/IJCSM.2014.059378
AUTHOR KEYWORDS: Existence; Finite difference method; Inverse semilinear wave problem; Polynomial function; Stability; Uniqueness
DOI: 10.1007/s40306-014-0050-7
AUTHOR KEYWORDS: ADMB-KdV equation; Cauchy problem; Sobolev spaces
DOI: 10.1007/s12591-013-0174-6
AUTHOR KEYWORDS: Rosenau-RLW equation; Solitary waves; Stability
DOI: 10.1007/s10492-014-0059-1
AUTHOR KEYWORDS: Damped Boussinesq equation; Instability; Stationary solution
INDEX KEYWORDS: Mathematical techniques; Plasma stability, Blow-up; Boussinesq equations; Global solutions; Stationary solutions; Suitable conditions, Initial value problems
PUBLISHER: Kluwer Academic Publishers
PUBLISHER: Khayyam Publishing
AUTHOR KEYWORDS: Local well-posedness; OST equation; Sobolev spaces
DOI: 10.1007/s11565-013-0178-8
AUTHOR KEYWORDS: ADMB-KdV equation; Anisotropic Sobolev spaces; Cauchy problem
DOI: 10.4310/CMS.2014.v12.n2.a5
AUTHOR KEYWORDS: BBM-ZK equation; Orbital stability; Scattering
DOI: 10.1142/S0219691313500343
AUTHOR KEYWORDS: error analysis; Haar basis method; Ill-posed inverse problems; Legendre wavelet method; noisy data
INDEX KEYWORDS: Comparative studies; Exponential rates; Fisher's equation; Haar basis method; ILL-posed inverse problem; Legendre wavelet methods; Noisy data; Tikhonov regularization method, Differential equations; Error analysis, Inverse problems
DOI: 10.1016/j.na.2013.04.011
AUTHOR KEYWORDS: Boussinesq equation; Cauchy problem; Well-posedness
INDEX KEYWORDS: Boussinesq equations; Cauchy problems; Local well-posedness; Wellposedness, Initial value problems, Partial differential equations
DOI: 10.1142/S0219876213500096
AUTHOR KEYWORDS: Existence and uniqueness; stability; SVD method; the Tikhonov regularization method
INDEX KEYWORDS: Efficient numerical method; Existence and uniqueness; Initial and boundary conditions; Inverse wave problems; Singular value decomposition method; SVD method; Tikhonov regularization; Tikhonov regularization method, Convergence of numerical methods; Numerical methods; Singular value decomposition, Inverse problems
DOI: 10.1007/s40314-013-0005-y
AUTHOR KEYWORDS: Existence; Inverse initial-boundary-value problem; The L-curve method; Tikhonov regularization method; Uniqueness
DOI: 10.1007/s12190-012-0592-6
AUTHOR KEYWORDS: Consistency; Convergence; Existence; Finite difference method; Inverse heat conduction problem; Least-square method; Stability; Tikhonov regularization method; Uniqueness
INDEX KEYWORDS: Consistency; Convergence; Existence; Inverse heat conduction problem; Least square methods; Tikhonov regularization method; Uniqueness, Convergence of numerical methods; Finite difference method; Linear systems; Singular value decomposition; Two dimensional, Least squares approximations
DOI: 10.1504/IJMMNO.2013.059206
AUTHOR KEYWORDS: Genetic algorithm; IHHCP; Inverse hyperbolic heat; Inverse hyperbolic heat conduction problem; Multi-core parallelisation; The least squares method
PUBLISHER: Inderscience Enterprises Ltd.
DOI: 10.3934/dcds.2013.33.663
AUTHOR KEYWORDS: RGBO equation; Solitary waves; Stabilit
DOI: 10.1002/mma.2556
AUTHOR KEYWORDS: Boussinesq-KdV equation; Cauchy problem; dissipation
INDEX KEYWORDS: Boussinesq-KdV equation; Cauchy problems; Global existence; Initial values; Local well-posedness; Nonlinear waves; Viscous films; Work study, Energy dissipation; Korteweg-de Vries equation, Partial differential equations
AUTHOR KEYWORDS: Boundary value problems; Fuzzy differential equations; Fuzzy numbers
DOI: 10.1016/j.na.2012.03.019
AUTHOR KEYWORDS: Boussinesq equation; Sobolev spaces; Well-posedness
INDEX KEYWORDS: Blow-up; Boussinesq equations; Global existence; Global solutions; Local well-posedness; Oscillatory integral; Sufficient conditions; Wellposedness, Initial value problems; Sobolev spaces, Partial differential equations
DOI: 10.1016/j.jmaa.2012.02.006
AUTHOR KEYWORDS: Anisotropic Sobolev spaces; DMKP equation; Well-posedness
DOI: 10.1007/s10884-012-9250-9
AUTHOR KEYWORDS: Boussinesq equation; Solitary waves; Stability
DOI: 10.3934/cpaa.2012.11.1111
AUTHOR KEYWORDS: BBM equation; Cauchy problem; Stability; Unique continuation
DOI: 10.1016/j.jmaa.2011.06.038
AUTHOR KEYWORDS: Boussinesq equation; Local well-posedness; Sobolev spaces
DOI: 10.1112/blms/bdr048
DOI: 10.1016/j.amc.2011.05.065
AUTHOR KEYWORDS: Nonlinear PDE; Regularity; Solitary wave solution
INDEX KEYWORDS: Non linear PDE; Non-existence; Non-linear stabilities; Non-Linearity; Regularity; Regularity properties; Solitary wave solution; Two-dimension, Control nonlinearities; Solitons, Nonlinear equations
DOI: 10.1088/0253-6102/55/3/04
AUTHOR KEYWORDS: Ansätze method; KdV equation; Rosenau equation; Solitons
DOI: 10.1088/0951-7715/24/3/006
DOI: 10.1088/0253-6102/55/3/01
AUTHOR KEYWORDS: Bretherton equation; traveling wave; trigonometric function method; variational method
DOI: 10.1016/j.aml.2010.09.004
AUTHOR KEYWORDS: Anstze method; KleinGordon equation; Solitons
INDEX KEYWORDS: Anstze method; Klein-Gordon equation; Nonlinear klein-Gordon equation; Solitary wave; Solitary wave solution, Solitons, Nonlinear equations
DOI: 10.1016/j.amc.2010.11.039
AUTHOR KEYWORDS: Initial value problem; Traveling wave solutions; ZKB equation
INDEX KEYWORDS: Burgers equations; Exact traveling waves; Ill-posedness; Non-homogeneous; Traveling wave solution; Weighted space; ZKB equation, Differential equations; Initial value problems, Sobolev spaces
DOI: 10.1090/S0002-9939-2010-10532-4
AUTHOR KEYWORDS: Cauchy problem; Ill-posedness; Nonlinear PDE
PUBLISHER: American Mathematical Society
DOI: 10.1088/1751-8113/43/39/395201
DOI: 10.1016/j.physleta.2010.07.015
AUTHOR KEYWORDS: Ansätze method; Conservation laws; Kadomtsev-Petviashvili equation; Traveling wave