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  2. Partial Differential Equations of Mathematical Physics
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Solution Manual for Mathematical Physics with Partial Differential Equations – James Kirkwood

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Psychophysical studies of the visua Nikolay Bibikov. This work was carried out in collaboration between the authors. Both authors have a good contribution to design the study, and to perform the analysis of this research work. Both authors read and approved the final manuscript. The authors also would like to express their gratitude to the anonymous referees for their valuable comments and suggestions.

Partial Differential Equations of Mathematical Physics

National Center for Biotechnology Information , U. Published online Jan 7. Ali Akbar and Norhashidah Hj. Ali Akbar. Norhashidah Hj. Author information Article notes Copyright and License information Disclaimer. Ali Akbar, Email: moc. Corresponding author. Received Nov 9; Accepted Dec Abstract In this article, we introduce an ansatz involving exact traveling wave solutions to nonlinear partial differential equations.

Background It is eminent that nonlinear partial differential equations NLPDEs are widely used as models to depict many important complex physical phenomena in a variety of fields of science and engineering, such as, nonlinear optics, solid state physics, plasma physics, chemical kinematics, fluid mechanics, chemistry, biology and many others. Description of the method In this section, we present the description of the method. Particular cases If we set specific values of A and B , various known solutions can be rediscovered.

Open in a separate window. Competing interests Both authors declare that they have no competing interests.

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Solitons, nonlinear evolution equations and inverse scattering transform. Cambridge: Cambridge University Press; Solving frontier problems of physics: the decomposition method. Boston: Kluwer Academic; Prog Appl Math. Commun Theor Phys.

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Math Prob Engr World Appl Sci J. Bright and dark soliton solutions for variable-coefficient diffusion-reaction and modified Korteweg-de Vries equations. Phys Scr.

Partial Differential Equation

Solitons: an introduction. Appl Math Comput. Exp-function method for nonlinear wave equations.

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Chaos Solitons Fract. Modified simple equation method for nonlinear evolution equations. Exact and solitary wave solutions for the Tzitzeica—Dodd—Bullough and the modified KdV—Zakharov—Kuznetsov equations using the modified simple equation method. Ain Shams Engr J. Appl Math J Chin Univ.

Partial Differential Equations - EqWorld

Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys Lett A.

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Backlund and Darboux transformations. Backlund transformations. New York: Academic Press; Solitary wave solutions for variant Boussinesq equations. Applications of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics. Solitons and singular solitons for a variety of Boussinesq-like equations. Ocean Eng. Analytical approach to Boussinesq equation with space- and time-fractional derivatives. Int J Numer Method Fluids. J Phys A Math Theor. J Appl Math Inform. Int J Comput Math.