๐๐๐๐พ๐๐ผ๐ ๐๐๐๐๐ ๐ค๐ฃ ๐๐ค๐ฃ๐ก๐๐ฃ๐๐๐ง ๐๐ซ๐ค๐ก๐ช๐ฉ๐๐ค๐ฃ ๐๐ฆ๐ช๐๐ฉ๐๐ค๐ฃ๐จ ๐๐ฃ๐ ๐๐๐๐๐ง ๐ผ๐ฅ๐ฅ๐ก๐๐๐๐ฉ๐๐ค๐ฃ๐จ
This special issue in ๐๐๐ ๐ข๐ก๐ฆ๐ง๐ฅ๐๐ง๐๐ข ๐ ๐๐ง๐๐๐ ๐๐ง๐๐๐ (๐๐: ๐ฎ.๐ฌ๐ต๐ฏ) focuses on Artificial Intelligence Nonlinear Evolution Equations.
Nonlinear Evolution Equations (NEEs) play a significant role in the analysis of mathematical modeling and soliton theory. After the observation of soliton phenomena by John Scott Russell in 1834 and since the KdV equation was solved by Gardner et al. (1967) by inverse scattering method, finding exact solutions of nonlinear evolution equations (NLEEs) has
turned out to be one of the most exciting and particularly active areas of research. These equations, which are primarily studied in mathematics and physics play an important role and character in various branches of science and technology, such as propagation of shallow-water waves, population statistics physics, fluid dynamics, condensed matter physics, computational physics, and geophysics. Nonlinear evolution equations also appear and are very important in many fields such as wave mechanics, dissipation mechanics, and dispersion in optics, reaction, and convection equations. Over the past few decades, many compelling methodologies for extracting exact solutions of NEEs have been formulated.
However, it is more difficult to solve the NEEs but, various methods have been tried for solving NEEs, such as Hirotaโs bilinear operations, truncated Painleve expansion, inverse scattering transform, Jacobi-elliptic function expansion, homogenous balance method, sub ODE method, Rank analysis method, Extended and modified direct algebraic method, extended mapping method and Seadawy techniques to find solutions for some nonlinear partial differential equations and many other ansatzes comprising exponential and hyperbolic functions are accurately used for the analytic analysis of NEEs.
Recently, many researchers implemented the new proposed procedure by using mutable coefficients to find the solutions of NEEs and also proved that the introduced method could be easily applied to solve other nonlinear differential equations. The aim of this special issue is to collect excellent contributions related to nonlinear evolution equations and their solution with mutable coefficients in physics. Namely, the topic issue will focus on but not limited to:
โข Local and global existence of solutions
โข Blow-up phenomena
โข Estimates of lifespan
โข Fractional in time and space evolution equations
โข Wave equation
โข Schrรถdinger equation
โข Conservation laws
โข Numerical methods for solving nonlinear evolution equations
Authors are requested to submit their full revised papers complying the general scope of the journal. The submitted papers will undergo the standard peer-review process before they can be accepted. Notification of acceptance will be communicated as we progress with the review process.
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๐ฎ๐ผ๐ฌ๐บ๐ป ๐ฌ๐ซ๐ฐ๐ป๐ถ๐น๐บ
Praveen Agarwal (Lead Guest Editor), Anand International College of Engineering, India
Dumitru Baleanu, Department of Mathematics, Cankaya University, Turkey
Necati Ozdemir, Balikesir University, Turkey
Mohamed S. Osman, Department of Mathematics, Faculty of Science, Cairo University, Egypt
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๐ซ๐ฌ๐จ๐ซ๐ณ๐ฐ๐ต๐ฌ
The deadline for submissions is ๐๐จ๐๐จ๐ฆ๐ง ๐ญ๐ฑ, ๐ฎ๐ฌ๐ฎ๐ฏ, but individual papers will be reviewed and published online on an ongoing basis.
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๐ฏ๐ถ๐พ ๐ป๐ถ ๐บ๐ผ๐ฉ๐ด๐ฐ๐ป
All submissions to the Special Issue must be made electronically via the online submission system Editorial Manager:
๐ก๐ญ๐ญ๐ฉ๐ฌ://๐ฐ๐ฐ๐ฐ.๐๐๐ข๐ญ๐จ๐ซ๐ข๐๐ฅ๐ฆ๐๐ง๐๐ ๐๐ซ.๐๐จ๐ฆ/๐๐๐ฆ๐/
Please choose the Category โSpecial Issue on Nonlinear Evolution Equations and Their Applicationsโ.
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๐ช๐ถ๐ต๐ป๐จ๐ช๐ป
๐๐๐ฆ๐จ๐ง๐ฌ๐ญ๐ซ๐๐ญ๐ข๐จ.๐๐๐ข๐ญ๐จ๐ซ๐ข๐๐ฅ@๐๐๐ ๐ซ๐ฎ๐ฒ๐ญ๐๐ซ.๐๐จ๐ฆ
๐๐ฌ๐ฌ๐ข๐ฌ๐ญ๐๐ง๐ญ๐๐๐ง๐๐ ๐ข๐ง๐ ๐๐๐ข๐ญ๐จ๐ซ@๐๐๐ ๐ซ๐ฎ๐ฒ๐ญ๐๐ซ.๐๐จ๐ฆ
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