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1. Classical methods in ordinary differential equations
: with applications to boundary value problems
by Hastings, Stuart P., 1937 and McLeod, J. Bryce, 1929-2014
2012, Graduate studies in mathematics, ISBN 0821846949, Volume 129, xvii, 373
Differential equations, Nonlinear | Boundary value problems
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2. Full Text Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data
by Farwig, Reinhard and Kozono, Hideo and Wegmann, David
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2017, Volume 453, Issue 1, pp. 271 - 286
Recently, Leray's problem of the -decay of a special weak solution to the Navier–Stokes equations with nonhomogeneous boundary values was studied by the... 
Instationary Navier–Stokes equations | Weak solutions | Time-dependent data | Exterior domain | Asymptotic behavior | Nonzero boundary values | SYSTEM | MATHEMATICS, APPLIED | SPACES | NONHOMOGENEOUS DATA | EQUATIONS | MATHEMATICS | EXTERIOR DOMAINS | Instationary Navier-Stokes equations | REGULARITY CONDITIONS | Fluid dynamics
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3. Full Text On periodic wave solutions with asymptotic behaviors to a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation in fluid dynamics
by Tu, Jian-Min and Tian, Shou-Fu and Xu, Mei-Juan and Ma, Pan-Li and Zhang, Tian-Tian
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2016, Volume 72, Issue 9, pp. 2486 - 2504
In this paper, a -dimensional generalized B-type Kadomtsev–Petviashvili equation is investigated, which can be used to describe weakly dispersive waves... 
Riemann theta function | Soliton solution | A [formula omitted]-dimensional generalized B-type Kadomtsev–Petviashvili equation | Periodic solution | Bell polynomials | A (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation | DIMENSIONS | MATHEMATICS, APPLIED | SYMMETRIES | Kadomtsev-Petviashvili equation | NONLINEAR EVOLUTION-EQUATIONS | DARBOUX TRANSFORMATIONS | A (3+1)-dimensional generalized B-type | RATIONAL CHARACTERISTICS | Fluid dynamics | Wave propagation | Amplitudes | Computational fluid dynamics | Asymptotic properties | Mathematical analysis | Mathematical models | Polynomials | Combinatorial analysis
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4. Advanced mathematical methods for scientists and engineers
by Bender, Carl M., 1943 and Orszag, Steve A
1978, International series in pure and applied mathematics, ISBN 007004452X, xiv, 593
Science | Engineering mathematics | Mathematics | Difference equations | Numerical solutions | Differential equations
Book
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5. Full Text Global solutions and self‐similar solutions for coupled nonlinear Schrödinger equations
by Ye, Yaojun
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 08/2017, Volume 40, Issue 12, pp. 4613 - 4624
In this paper, we prove the existence and uniqueness for the global solutions of Cauchy problem for coupled nonlinear Schrödinger equations and obtain the... 
global solutions | self‐similar solutions | 35Q55 | subclass 35A05 | coupled nonlinear Schrödinger equations | 37K10 | Cauchy problem | self-similar solutions | MATHEMATICS, APPLIED | SOLITONS | coupled nonlinear Schrodinger equations | CAUCHY-PROBLEM | PROGRESSING WAVES | BLOW-UP | Asymptotic properties | Mathematical analysis | Decay | Uniqueness | Self-similarity
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6. Full Text Solutions of the Dirichlet–Sch problem and asymptotic properties of solutions for the Schrödinger equation
by Qiao, Lei
Applied Mathematics Letters, ISSN 0893-9659, 09/2017, Volume 71, pp. 44 - 50
Let be a nonnegative radical potential in a cylinder. In this paper, we study the solutions of the Dirichlet–Sch problem associated with a stationary... 
Dirichlet–Sch problem | Asymptotic property | Schrödinger equation | MATHEMATICS, APPLIED | Schrodinger equation | Dirichlet-Sch problem | CYLINDER | CONE | Information science
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7. Asymptotic solutions of the one-dimensional Schrödinger equation
by Slav︠i︡anov, S. ︠I︡U and American Mathematical Society
1996, Translations of mathematical monographs, ISBN 0821805363, Volume 151., xvi, 176
Schrödinger equation | Differential equations | Asymptotic theory
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8. Asymptotic analysis for periodic structures
by Bensoussan, Alain and Lions, J. L and Papanicolaou, George and Lions, Jacques Louis
1978, ISBN 9780444851727, Volume 5., xxiv, 700
Boundary value problems | Asymptotic theory | Differential equations, Partial | Numerical solutions | Probabilities
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9. Full Text Spherically symmetric solutions in higher-derivative gravity
by Lü, H and Perkins, A and Pope, C.N and Stelle, K.S
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2015, Volume 92, Issue 12
Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantized gravity, including string theory.... 
FREE QUANTUM-THEORY | ENERGY | ASTRONOMY & ASTROPHYSICS | BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | Gravitation | Asymptotic properties | Mathematical analysis | Flats | Cosmology | Horizon | Coupling | Symmetry
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10. Full Text Long-time asymptotics and the bright N-soliton solutions of the Kundu–Eckhaus equation via the Riemann–Hilbert approach
by Wang, Deng-Shan and Wang, Xiaoli
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 06/2018, Volume 41, pp. 334 - 361
The long-time asymptotics and bright -soliton solutions of the Kundu–Eckhaus equation are studied by Riemann–Hilbert approach. Firstly, the initial value... 
Long-time asymptotics | Soliton solutions | Lax pair | Kundu–Eckhaus equation | Riemann–Hilbert approach | MATHEMATICS, APPLIED | WAVES | Riemann-Hilbert approach | LIMIT | Kundu-Eckhaus equation | EVOLUTION-EQUATIONS | NONLINEAR SCHRODINGER-EQUATION | Information science
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11. Large-time behavior of solutions of linear dispersive equations
by Dix, Daniel Beach, 1959
1997, Lecture notes in mathematics, ISBN 3540634347, Volume 1668, xiv, 203
Differential equations, Linear | Asymptotic expansions | Initial value problems | Asymptotic theory
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12. Full Text Asymptotic behavior of solutions of a free boundary problem modeling tumor spheroid with Gibbs–Thomson relation
by Wu, Junde and Zhou, Fujun
Journal of Differential Equations, ISSN 0022-0396, 05/2017, Volume 262, Issue 10, pp. 4907 - 4930
In this paper we study a free boundary problem modeling the growth of solid tumor spheroid. It consists of two elliptic equations describing nutrient diffusion... 
Asymptotic stability | Free boundary problem | Tumor spheroid | Gibbs–Thomson relation | Well-posedness | MATHEMATICS | INSTABILITY | SYMMETRY-BREAKING BIFURCATIONS | STABILITY | STATIONARY SOLUTIONS | GROWTH | Gibbs Thomson relation | INHIBITORS | Models | Tumors
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13. Asymptotic behaviour of solutions of evolutionary equations
by Vishik, M. I
1992, Lezioni lincee., ISBN 9780521420235, 155
The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. Locally asymptotic solutions of the Navier–Stokes... 
Evolution equations | Asymptotic theory
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14. Full Text A direct method of solution for the Fokas-Lenells derivative nonlinear Schrödinger equation: II. Dark soliton solutions
by Matsuno, Yoshimasa
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2012, Volume 45, Issue 47, pp. 475202 - 31
In a previous study (Matsuno Y 2012 J. Phys. A: Math. Theor. 45 23202), we have developed a systematic method for obtaining the bright soliton solutions of the... 
PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Dependent variables | Asymptotic properties | Mathematical analysis | Solitons | Plane waves | Nonlinearity | Boundary conditions | Schroedinger equation | Derivatives
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15. Short wave radiation problems in inhomogeneous media
: asymptotic solutions
by Bloom, Clifford O and Kazarinoff, Nicholas D and SpringerLink (Online service)
1976, Lecture notes in mathematics, ISBN 0387076980, Volume 522., 104
Asymptotic expansions | Rayonnement | Scattering (Physics) | Diffusion (Physique) | Développements asymptotiques | Radiation | Mathematical Physics | Classical Electrodynamics
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16. Full Text Asymptotic behavior of solutions to chemical reaction–diffusion systems
by Pierre, Michel and Suzuki, Takashi and Zou, Rong
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2017, Volume 450, Issue 1, pp. 152 - 168
This paper concerns the study of the asymptotic behavior of solutions to reaction–diffusion systems modeling multi-components reversible chemistry with spatial... 
Reaction–diffusion equation | Chemical reaction | Entropy method | Asymptotic behavior | Renormalized solution | MATHEMATICS, APPLIED | GLOBAL EXISTENCE | EQUATIONS | MATHEMATICS | ENTROPY METHODS | L-1 | Reaction-diffusion equation | EXPONENTIAL DECAY | EQUILIBRIUM | MASS | Trucks | Four-wheel drive | or physical chemistry | Mathematics | Analysis of PDEs | Chemical Sciences | Theoretical and
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17. Full Text Riemann theta solutions and their asymptotic property for a (3 $$+$$ + 1)-dimensional water wave equation
by Chen, Yiren and Chen, Yiren and Liu, Zhengrong and Liu, Zhengrong
Nonlinear Dynamics, ISSN 0924-090X, 1/2017, Volume 87, Issue 2, pp. 1069 - 1080
In this paper, we consider the (3 $$+$$ + 1)-dimensional water wave equation $$u_{yzt}+u_{xxxyz}-6u_{x}u_{xyz}-6u_{xy}u_{xz}=0.$$ u y z t + u x x x y z - 6 u x... 
Engineering | Vibration, Dynamical Systems, Control | Asymptotic property | Bell polynomials | Classical Mechanics | Hirota bilinear equation | Automotive Engineering | Mechanical Engineering | (3+1)-Dimensional equation | Riemann theta solution | DARBOUX TRANSFORMATION | ION-ACOUSTIC SOLITONS | DE-VRIES EQUATION | MULTIPLE-SOLITON-SOLUTIONS | ENGINEERING, MECHANICAL | BACKLUND TRANSFORMATION | SHALLOW-WATER | MULTISOLITON SOLUTIONS | MECHANICS | MAXWELL-BLOCH SYSTEM | SINGULAR SOLITONS | SPATIOTEMPORAL DISPERSION | Water waves | Asymptotic properties | Mathematical analysis | Wave equations | Polynomials | Solitary waves | Combinatorial analysis
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18. Full Text Soliton and Riemann theta function quasi-periodic wave solutions for a (2 + 1)-dimensional generalized shallow water wave equation
by Chen, Yiren and Song, Ming and Liu, Zhengrong
Nonlinear Dynamics, ISSN 0924-090X, 10/2015, Volume 82, Issue 1-2, pp. 333 - 347
In this paper, a -dimensional generalized shallow water wave equation is investigated through bilinear Hirota method. Interestingly, the breather-type and... 
Riemann theta function | Hirota bilinear method | (2 + 1)-dimensional GSWW equation | Lump-type soliton | Breather-type soliton | Quasi-periodic wave solution | Asymptotic analysis | EXCITATIONS | DIFFERENTIAL-EQUATIONS | KADOMTSEV-PETVIASHVILI EQUATION | ENGINEERING, MECHANICAL | MECHANICS | LINEAR EVOLUTION-EQUATIONS | NONLINEAR EQUATIONS | (2+1)-dimensional GSWW equation | SYMBOLIC COMPUTATION | BILINEAR EQUATIONS | KDV EQUATION | TRANSFORM | RATIONAL CHARACTERISTICS | Water waves | Asymptotic properties | Asymptotic methods | Shallow water | Solitary waves | Wave equations
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19. Full Text On quasiperiodic wave solutions and integrability to a generalized (2+1)-dimensional Korteweg–de Vries equation
by Xu, Mei-Juan and Tian, Shou-Fu and Tu, Jian-Min and Ma, Pan-Li and Zhang, Tian-Tian
Nonlinear Dynamics, ISSN 0924-090X, 12/2015, Volume 82, Issue 4, pp. 2031 - 2049
Under investigation in this paper is a generalized -dimensional Korteweg-de Vries equation, which could describe many nonlinear phenomena in plasma physics. By... 
Bell’s polynomials | Soliton solution | A generalized (2+1)-dimensional KdV equation | Periodic wave solution | Bilinear Bäcklund transformation | Lax pairs | TRANSFORMATION | MODEL | KADOMTSEV-PETVIASHVILI EQUATION | ENGINEERING, MECHANICAL | FIBERS | MECHANICS | SOLITONS | Bilinear Backlund transformation | BILINEAR EQUATIONS | NONLINEAR EVOLUTION-EQUATIONS | RATIONAL CHARACTERISTICS | TODA LATTICE | Bell's polynomials | HIERARCHY | Plasma physics | Conservation laws | Nonlinear phenomena | Asymptotic properties | Polynomials | Plasma (physics) | Solitary waves
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20. Full Text Elementary solutions for a model Boltzmann equation in one dimension and the connection to grossly determined solutions
by Carty, Thomas E
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 05/2017, Volume 347, pp. 1 - 11
The Fourier-transformed version of the time dependent slip-flow model Boltzmann equation associated with the linearized BGK model is solved in order to... 
Linearized Boltzmann equation | Rarefied slip flow equation | Asymptotics of elementary solutions | Grossly determined solutions | MATHEMATICS, APPLIED | GAS-DYNAMICS | KINETIC-THEORY | PHYSICS, MULTIDISCIPLINARY | TRANSPORT-EQUATION | PHYSICS, MATHEMATICAL
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