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1

Explicit solutions of Fisher's equation for a special wave speed

Mark J. Ablowitz, Anthony Zeppetella

Journal:

Bulletin of Mathematical Biology

Year:

1979

Language:

english

File:

PDF, 253 KB

english, 1979

2

Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation

Thiab R Taha, Mark I Ablowitz

Journal:

Journal of Computational Physics

Year:

1984

Language:

english

File:

PDF, 888 KB

english, 1984

3

Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation

Thiab R Taha, Mark I Ablowitz

Journal:

Journal of Computational Physics

Year:

1984

Language:

english

File:

PDF, 1.01 MB

english, 1984

4

The Inverse Scattering Transform-Fourier Analysis for Nonlinear Problems

Ablowitz, Mark J., Kaup, David J., Newell, Alan C.

Journal:

Studies in Applied Mathematics

Year:

1974

Language:

english

File:

PDF, 6.23 MB

english, 1974

5

On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation

Ablowitz, Mark J., Herbst, B. M.

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.55 MB

english, 1990

6

Solitons, Nonlinear Evolution Equations and Inverse Scattering || Introduction

Ablowitz, M. A., Clarkson, P. A.

Year:

1991

Language:

english

File:

PDF, 2.74 MB

english, 1991

7

On the Numerical Solution of the Sine–Gordon Equation: I. Integrable Discretizations and Homoclinic Manifolds

M.J. Ablowitz, B.M. Herbst, Constance Schober

Journal:

Journal of Computational Physics

Year:

1996

Language:

english

File:

PDF, 614 KB

english, 1996

8

Nonlinear-Evolution Equations of Physical Significance

Ablowitz, Mark, Kaup, David, Newell, Alan, Segur, Harvey

Journal:

Physical Review Letters

Year:

1973

Language:

english

File:

PDF, 272 KB

english, 1973

9

The Theory of Emergence

Reuben Ablowitz

Journal:

Philosophy of Science

Year:

1939

Language:

english

File:

PDF, 382 KB

english, 1939

10

Homoclinic manifolds and numerical chaos in the nonlinear Schrödinger equation

Mark J. Ablowitz, Constance M. Schober

Journal:

Mathematics and Computers in Simulation

Year:

1994

Language:

english

File:

PDF, 1.29 MB

english, 1994

11

Solitons and rational solutions of nonlinear evolution equations

Ablowitz, M. J., Satsuma, J.

Journal:

Journal of Mathematical Physics

Year:

1978

Language:

english

File:

PDF, 719 KB

english, 1978

12

On the limit from the intermediate long wave equation to the Benjamin–Ono equation

Santini, P. M., Ablowitz, M. J., Fokas, A. S.

Journal:

Journal of Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 741 KB

english, 1984

13

Two-dimensional lumps in nonlinear dispersive systems

Satsuma, J., Ablowitz, M. J.

Journal:

Journal of Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 687 KB

english, 1979

14

Numerical chaos, roundoff errors, and homoclinic manifolds

Ablowitz, Mark J., Schober, Constance, Herbst, Ben M.

Journal:

Physical Review Letters

Year:

1993

Language:

english

File:

PDF, 725 KB

english, 1993

15

A Nonlinear Difference Scheme and Inverse Scattering

Ablowitz, M. J., Ladik, J. F.

Journal:

Studies in Applied Mathematics

Year:

1976

Language:

english

File:

PDF, 1.17 MB

english, 1976

16

Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions

Ablowitz, Mark J., Luo, Xu-Dan, Musslimani, Ziad H.

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 10.86 MB

english, 2018

17

On the Numerical Solution of the Sine–Gordon Equation

M.J. Ablowitz, B.M. Herbst, C.M. Schober

Journal:

Journal of Computational Physics

Year:

1997

Language:

english

File:

PDF, 588 KB

english, 1997

18

Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation

X.P. Wang, M.J. Ablowitz, H. Segur

Journal:

Physica D: Nonlinear Phenomena

Year:

1994

Language:

english

File:

PDF, 1008 KB

english, 1994

19

On an internal wave equation describing a stratified fluid with finite depth

Junkichi Satsuma, Mark J. Ablowitz, Yuji Kodama

Journal:

Physics Letters A

Year:

1979

Language:

english

File:

PDF, 265 KB

english, 1979

20

Reductions of self-dual Yang-Mills fields and classical systems

Chakravarty, S., Ablowitz, M., Clarkson, P.

Journal:

Physical Review Letters

Year:

1990

Language:

english

File:

PDF, 146 KB

english, 1990

21

Nonlinear Waves in Shallow Honeycomb Lattices

Ablowitz, Mark J., Zhu, Yi

Journal:

SIAM Journal on Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 1.44 MB

english, 2012

22

Hodograph Transformations of Linearizable Partial Differential Equations

Clarkson, P. A., Fokas, A. S., Ablowitz, M J.

Journal:

SIAM Journal on Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 2.10 MB

english, 1989

23

Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion

M. J. Ablowitz, V. Barone, S. De Lillo, M. Sommacal

Journal:

Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 1.75 MB

english, 2012

24

A note on Miura’s transformation

Ablowitz, Mark J., Kruskal, Martin, Segur, Harvey

Journal:

Journal of Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 607 KB

english, 1979

25

Method for Solving the Sine-Gordon Equation

Ablowitz, M. J., Kaup, D. J., Newell, A. C., Segur, H.

Journal:

Physical Review Letters

Year:

1973

Language:

english

File:

PDF, 307 KB

english, 1973

26

Hodograph Transformations of Linearizable Partial Differential Equations

P. A. Clarkson, A. S. Fokas and M. J. Ablowitz

Journal:

SIAM Journal on Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 1.60 MB

english, 1989

27

On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrodinger Equation

Mark J. Ablowitz and B. M. Herbst

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.18 MB

english, 1990

28

On the extension of the Painlevé property to difference equations

Ablowitz, M J, Halburd, R, Herbst, B

Journal:

Year:

2000

Language:

english

File:

PDF, 196 KB

english, 2000

29

On the periodic intermediate long wave equation

Ablowitz, M J, Fokas, A S, Satsuma, J, Segur, H

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1982

Language:

english

File:

PDF, 343 KB

english, 1982

30

Solitons and the Inverse Scattering Transform || 1. The Inverse Scattering Transform on the Infinite Interval

Ablowitz, Mark J., Segur, Harvey

Year:

1981

Language:

english

File:

PDF, 3.10 MB

english, 1981

31

Asymptotic Solutions of the Korteweg-deVries Equation

Ablowitz, M. J., Segur, H.

Journal:

Studies in Applied Mathematics

Year:

1977

Language:

english

File:

PDF, 1.21 MB

english, 1977

32

Perturbations of Solitons and Solitary Waves

Kodama, Yuji, Ablowitz, Mark J.

Journal:

Studies in Applied Mathematics

Year:

1981

Language:

english

File:

PDF, 1.76 MB

english, 1981

33

On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation

Ablowitz, M. J., Yaacov, D. Bar, Fokas, A. S.

Journal:

Studies in Applied Mathematics

Year:

1983

Language:

english

File:

PDF, 781 KB

english, 1983

34

Elements of Soliton Theory ; Solitons: Mathematical Methods for Physicists ; and Solitons and the Inverse Scattering Transform

Lamb, G. L., Ellenberger, G., Ablowitz, M., Segur, H., Tze, Chia Hsiung

Journal:

Year:

1982

Language:

english

File:

PDF, 800 KB

english, 1982

35

A Universal Asymptotic Regime in the Hyperbolic Nonlinear Schrödinger Equation

Ablowitz, Mark J., Ma, Yi-Ping, Rumanov, Igor

Journal:

SIAM Journal on Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 1.28 MB

english, 2017

36

Whitham modulation theory for the two-dimensional Benjamin-Ono equation

Ablowitz, Mark, Biondini, Gino, Wang, Qiao

Journal:

Physical Review E

Year:

2017

Language:

english

File:

PDF, 171 KB

english, 2017

37

Complex Variables (Introduction and Applications) || Complex Numbers and Elementary Functions

Ablowitz, Mark J., Fokas, Athanassios S.

Year:

2003

Language:

english

File:

PDF, 300 KB

english, 2003

38

Numerical Chaos, Symplectic Integrators, and Exponentially Small Splitting Distances

B.M. Herbst, Mark J. Ablowitz

Journal:

Journal of Computational Physics

Year:

1993

File:

PDF, 520 KB

1993

39

Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent

Harvey Segur, Mark J. Ablowitz

Journal:

Physica D: Nonlinear Phenomena

Year:

1981

Language:

english

File:

PDF, 734 KB

english, 1981

40

On solutions of the Korteweg-De Vries equation

Mark J. Ablowitz, Henri Cornille

Journal:

Physics Letters A

Year:

1979

Language:

english

File:

PDF, 407 KB

english, 1979

41

On the inverse scattering and direct linearizing transforms for the Kadomtsev-Petviashvili equation

A.S. Fokas, M.J. Ablowitz

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 236 KB

english, 1983

42

Solvability of the Direct and Inverse Problems for the Nonlinear Schrödinger Equation

Javier Villarroel, Mark J. Ablowitz, Barbara Prinari

Journal:

Acta Applicandae Mathematicae

Year:

2005

Language:

english

File:

PDF, 423 KB

english, 2005

43

Research Contributions of David J. Benney

M. J. Ablowitz, T. R. Akylas, C. C. Lin

Journal:

Studies in Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 83 KB

english, 2002

44

Solitons and symmetries

M. J. Ablowitz, P. A. Clarkson

Journal:

Journal of Engineering Mathematics

Year:

1999

Language:

english

File:

PDF, 57 KB

english, 1999

45

Nonlinear evolution equations and ordinary differential equations of painlevè type

M. J. Ablowitz, A. Ramani, H. Segur

Journal:

Lettere Al Nuovo Cimento Series 2

Year:

1978

Language:

english

File:

PDF, 296 KB

english, 1978

46

Explicit solutions of Fisher's equation for a special wave speed

Mark J. Ablowitz, Anthony Zeppetella

Journal:

Bulletin of Mathematical Biology

Year:

1979

Language:

english

File:

PDF, 249 KB

english, 1979

47

Nonlinear differential–difference equations and Fourier analysis

Ablowitz, M. J.

Journal:

Journal of Mathematical Physics

Year:

1976

Language:

english

File:

PDF, 932 KB

english, 1976

48

Noise-induced linewidth in frequency combs

Ablowitz, Mark J., Ilan, Boaz, Cundiff, Steven T.

Journal:

Year:

2006

Language:

english

File:

PDF, 157 KB

english, 2006

49

Solitary Wave Collisions

Ablowitz, M. J., Kruskal, M D., Ladik, J. F.

Journal:

SIAM Journal on Applied Mathematics

Year:

1979

Language:

english

File:

PDF, 865 KB

english, 1979

50

Integrable Nonlocal Nonlinear Schrödinger Equation

Ablowitz, Mark J., Musslimani, Ziad H.

Journal:

Physical Review Letters

Year:

2013

Language:

english

File:

PDF, 122 KB

english, 2013

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