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For getting complimentary instructor edition, table of content, bio of author and other details of Applied Partial Differential Equations the fifth edition (2013) go to publisher Pearson
 MATLAB mfiles for Figures for Applied Partial Differential Equations Text by Richard Haberman
 The figures for the fifth edition (2013) of my text Applied Partial Differential Equations (with Fourier Series and Boundary Value Problems) published by Pearson were prepared using MATLAB 4.2. Please feel free to copy (download) any or all of these MATLAB mfiles. Just right click on the following links. For examples, F234.M is the MATLAB m file for Figure 2.3.4. and F1244.M is for Figure 12.4.4.

 Chapter 2
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Chapter 3
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Chapter 4
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Chapter 5
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Chapter 6
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Chapter 7
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Chapter 9
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Chapter 10
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Chapter 11
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Chapter 12
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F1244.M,F1263.M,F1264A.M,F1265B.M,F12610A.M,F12610B.M,F12612.M
Chapter 14
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F1471.M,F1472.M,F1473.M,F1474.M,F1481.M,F1482.M,F1483.M,F1484.M,F14101.M,F14102.M
 Research Interests in Applied Mathematics

 singular perturbation methods
 ordinary and partial differential equations
 matched asymptotic expansions
 boundary layers
 multiple scales
 averaging
 nonlinear dynamical systems
 slow transitions
 bifurcations
 subharmonic resonances
 homoclinic orbits
 chaos
 nonlinear wave motion
 shocks
 solitons
 dispersive waves
 multiphase waves
 caustics
 mathematical models
 fluid dynamics
 traffic flow
 reactiondiffusion
 hydrodynamic stability
 critical layers
 defects in fiber optics
Education
 B.S. in Applied Mathematics, M.I.T., June 1967
 Ph.D. in Applied Mathematics, M.I.T., September 1971


 Professional Experience

 Southern Methodist University
 Professor of Mathematics (1985present), Associate Professor (19781985)
 The Ohio State University (19771978)
 Assistant Professor of Mathematics
 Rutgers University (19721977)
 Assistant Professor of Mathematics
 University of California, San Diego (19711972)
 Postdoctoral research, Institute of Geophysics and Planetary Physics
 Lecturer, Department of Applied Mechanics and Engineering Sciences
Publications
 1. "Critical layers in parallel flows," Studies in Applied Math. 51 (1972), pp. 139161.

 2. "Note on slightly unstable nonlinear wave systems," J. of Fluid Mechanics 58 (1973), pp. 129142.

 3. "Wave induced distortions of a slightly stratified shear flow  a nonlinear critical layer effect,"
 Journal of Fluid Mechanics 58 (1973), pp. 727735.

 4. "Nonlinear perturbations of the OrrSommerfeld
equation  asymptotic expansion of the logarithmic phase shift across
 the critical layer," SIAM J.
Math. Analysis 7 (1976), pp. 7081.

 5. "Resonantly coupled nonlinear evolution equations," (with M. J. Ablowitz), Math. Phys. 16 (1975), pp. 23012305.

 6. "Some higher order nonlinear evolution equations," Studies in Applied Math. 54 (1975), pp. 275282.

 7. "Note on generating nonlinear evolution equations," SIAM J. Applied Math. 31 (1976), pp. 4751.

 8. "Nonlinear evolution equations  two and three
dimensions," (with M. J. Ablowitz),
 Physical Review Letters 35
(1975), pp. 11851188.

 9. "On the singular behavior of spatially dependent
nonlinear wave envelopes,"
 SIAM J. Applied Math. 32 (1977),
pp. 154163.

 10. "An infinite number of conservation laws for
coupled nonlinear evolution equations,"
 J. Math. Phys. 18 (1977),
pp. 11371139.

 11. "Nonlinear transition layers  the second Painleve transcendent," Studies in Applied Math. 57 (1977), pp. 247270.

 12. "Slowly varying jump and transition phenomena
associated with algebraic bifurcation problems,"
 SIAM J. Applied Math. 37 (1979),
pp. 69106.

 13. "Energy bounds for the slow capture by a center
in sustained resonance,"
 SIAM J. Applied Math. 43 (1983),
pp. 244256.

 14. "Nonlinear cusped caustics for dispersive waves," (with Renji Sun), Studies in Applied Math. 72 (1985), pp. 137.

 15. "Slowly varying solitary wave tails: Focusing,
cusped caustics, wave number shocks and birth of tails,"
 (with D. Allgaier), SIAM J.
Applied Math. 45 (1985), pp. 919927.

 16. "Note on the initial formation of shocks," SIAM J. Applied Math. 46 (1986), pp. 1619.

 17. "The initial formation and structure of twodimensional diffusive shock waves," Wave Motion 8 (1986), pp. 267276.

 18. "The modulated phase shift for strongly
nonlinear, slowly varying, and weakly damped oscillators,"
 (with F. J. Bourland), SIAM J.
Applied Math. 48 (1988), pp. 737748.

 19. "Variation of wave action: modulations of the
phase shift for strongly nonlinear dispersive waves with weak
 dissipation," (with F. J.
Bourland), Physica 32D (1988), pp. 7282.

 20. "The modulated phase shift for weakly dissipated
nonlinear oscillatory waves of the KortewegdeVries type,"
 Studies in Applied Math. 78
(1988), pp. 7390.

 21. "The slowly varying phase shift for perturbed, single
and multiphased, strongly nonlinear, dispersive waves,"
 (with F. J. Bourland), Physica
35D (1989), pp. 127147.

 22. "Wave number shocks for the leading tail of
KortewegdeVries solitary waves in slowly varying media,"
 (with D. Allgaier), Wave Motion
12 (1990), pp. 569581.

 23. "Separatrix crossing: timeinvariant potentials
with dissipation", (with F. J. Bourland),
 SIAM J. Applied Math. 50 (1990),
pp. 17161744.

 24. "Averaging method for the phase shift of
arbitrarily perturbed strongly nonlinear oscillators with an application to
 capture", (with F. J. Bourland
and W. L. Kath), SIAM J. Applied Math. 51 (1991), pp. 11501167.

 25. "Phase shift modulations for stable,
oscillatory, traveling, strongly nonlinear waves",
 Studies in Applied Math. 84
(1991), pp. 5769.

 26. "Standard form and a method of averaging for
strongly nonlinear oscillatory dispersive traveling waves",
 SIAM J. Applied Math. 51 (1991),
pp. 16381652.

 27. "The accommodation of traveling waves of
Fisher's type to the dynamics of the leading tail",
 (with M. R. Booty and A. A.
Minzoni), SIAM J. Applied Math. 53 (1993), pp. 10091025.

 28. "Connection across a separatrix with
dissipation", (with F. J. Bourland),
 Studies in Applied Math. 91
(1994), pp. 95124.

 29. "Higherorder change of the Hamiltonian (energy) for nearly homoclinic orbits", (with E. K. Ho),
 Meth. Appl. Anal. 1 (1994), pp. 446464.

 30. "Boundary of the basin of attraction for weakly damped primary resonance", (with E. K. Ho),
 ASME J. Applied Mech. 62 (1995), pp. 941946.

 31. "Logarithmic correction to the probability of capture for dissipatively
perturbed Hamiltonian systems", (with E. K. Ho),
 Chaos 5 (1995), pp. 374384.

 32. "Higherorder change of the Hamiltonian between
saddle approaches by phase plane matching", (with E. K. Ho),
 Int. J. NonLinear Mech. 31
(1996), pp. 239254.

 33. "Accurate phase after slow passage through subharmonic resonance", (with J. D. Brothers),
 SIAM J. Appl. Math. 59 (1998), pp. 347364.

 34. "Slow passage through a homoclinic orbit with
subharmonic resonances", (with J. D. Brothers),
 Studies in Applied Math. 101
(1998), pp. 211232.

 35. "Resonant capture and separatrix crossing in dualspin spacecraft", (with R. Rand and T. Yuster),
 Nonlinear Dynamics 18 (1999), pp.
159184.

 36. "Sequences of orbits and the boundaries of the
basin of attraction for two double heteroclinic orbits", (with R. Rand),
 Int. J. NonLinear Mech. 34
(1999), pp. 10471059.

 37. "Slow passage through a saddlecenter bifurcation", (with D.
C. Diminnie),
 J. Nonlinear Science 10 (2000),
pp. 197221.

 38. "Weakly nonlinear long waves in channel flow
with internal dissipation", (with J. Yu and J. Kevorkian),
 Studies in Applied Math. 105
(2000), pp. 143163.

 39. "Slow passage through a transcritical
bifurcation for Hamiltonian systems and the change in action due to a
 nonhyperbolic homoclinic orbit",
Chaos 10 (2000), pp. 641648.

 40. "Slow passage through the nonhyperbolic homoclinic orbit associated with a subcritical
pitchfork bifurcation for
 Hamiltonian systems and the
change in action", SIAM J. Appl. Math 62 (2001), pp. 488513.

 41. "Slow passage through the nonhyperbolic homoclinic orbit
of the saddlecenter Hamiltonian bifurcation",
 (with D.C. Diminnie) Studies in
Applied Math. 108 (2002), pp. 6575.

 42. "Slow passage through homoclinic orbits for the
unfolding of a saddlecenter bifurcation and the change in adiabatic
 invariant", (with D.C. Diminnie)
Physica D 162 (2002), pp. 3452.

 43. "Action and period of homoclinic and periodic
orbits for the unfolding of a saddlecenter bifurcation",
 (with D.C. Diminnie) Int. J.
Bifurcation and Chaos 13 (2003), pp. 35193530.

 44. "Interaction of sineGordon kinks with defects:
The twobounce resonance", (with Roy H. Goodman)
 Physica D (submitted).

Texts
 1. Mathematical Models: Mechanical Vibrations,
Population Dynamics, and Traffic Flow An Introduction to Applied
 Mathematics, PrenticeHall,
Englewood Cliffs, N.J., 1977, 402 pages. Also Japanese translation.
 Reprinted SIAM Classic Series
#21, 1998.

 2. Applied Partial Differential Equations (with Fourier Series and Boundary Value Problems), PrenticeHall (now Person),
 Upper Saddle River, N.J., 1983, 1987,
1998, 2004 (Fifth Edition, 2013, 756 pages).
 Also Instructor's Manual. Also
Spanish translation.

 3. Introduction to Differential Equations with
Boundary Value Problems (with Stephen L. Campbell), HoughtonMifflin,
 Boston, 1996, 729 pages. Also
Instructor's Manual. Also Spanish translation.
Conference Proceedings
 1. "Energy bounds for the slow capture by a center," Trends in Theory and Practice of Nonlinear Differential Equations,
 ed. V. Lakshmikantham, Dekker, New York, 1984, pp. 227230.

 2. "Nonlinear focusing of dispersive waves," (with Renji Sun), Lectures in Applied Mathematics: V. 23  Part 2
 Nonlinear Systems of Partial Differential Equations in Applied Mathematics,
 ed. B. Nicolaenko, D. D. Holm, and J. M. Hyman, AMS, Providence, 1986, pp. 6778.

 3. "Phase shift for strongly nonlinear slowly varying oscillators with perturbations", (with F. J. Bourland),
 BAIL V Conf. Proc., Boole Press, Dublin, 1988, pp. 9297.

 4. "Focusing at a nonlinear penumbral caustic", (with Renji Sun), BAIL V Conf. Proc., Boole
Press, Dublin, 1988,
 pp. 339344.

 5. "Capture and the connection formulas for the transition across a separatrix", (with F. J. Bourland), Asymptotic Analysis
 and the Numerical Solution of Partial Differential Equations,
 ed. H. G. Kaper and M. Garbey, Dekker, New York, 1991, pp. 1730.

 6. "Phase shift modulations for perturbed strongly nonlinear oscillatory dispersive waves", Nonlinear Dispersive Wave
 Systems, ed. L. Debnath, World Sci., Singapore, 1992, pp. 7382.

 7. "Matching across subharmonic resonance", (with J. D. Brothers), ICIAM 95 Conf. Proc. in ZAMM
76 (1996)
 pp. 489.

 8. "On the dynamic unfolding of a saddlecenter
bifurcation and the change in the action", (with D. C. Diminnie),
 Proc. Steklov Inst. Math (2003) pp.
S91S97.
 Translated from Trudy Instituta
Mathematiki i Mekhaniki UrO RAN (2003)..

Ph.D. Students
 1. Renji Sun (Ph.D., SMU, 1984) Thesis entitled "Caustics for dispersive waves: asymptotics of nonlinear Schrodinger
 equation and its RiemannHilbert problems".

 2. Darrell Allgaier (Ph.D., SMU, 1986) Thesis
entitled "Wave number shocks for the tail of KortewegdeVries solitary
 waves in slowly varying media".

 3. F. Jay Bourland (Ph.D., SMU, 1989) Thesis
entitled "Modulations of the phase shift for nonlinear oscillators and
 dispersive waves and connections
across a separatrix".

 4. Eric K. Ho (Ph.D., SMU, 1993) Thesis entitled
"Hamiltonian systems with dissipation: basins of attraction and nearly
 homoclinic orbits".

 5. Jerry D. Brothers (Ph.D., SMU, 1995) Thesis
entitled "Sequence of subharmonic resonances
 and slow separatrix crossing".

 6. David C. Diminnie (Ph.D., SMU, 2000) Thesis
entitled "Slow passage through homoclinic orbits associated with the
 unfolding of a saddlecenter
bifurcation"

The contents of this home page are the sole responsibility of Professor Haberman and its contributors, and do not necessarily represent the opinions or policies of Southern Methodist University. The administrator of this page is Professor Haberman, who may be contacted at: rhaberma@mail.smu.edu
Last revision: September 3, 2013.