SI NETA 2023 : SPECIAL ISSUE on Nonlinear Evolution Equations and Their Applications
Call For Papers
𝙎𝙋𝙀𝘾𝙄𝘼𝙇 𝙄𝙎𝙎𝙐𝙀 𝙤𝙣 𝙉𝙤𝙣𝙡𝙞𝙣𝙚𝙖𝙧 𝙀𝙫𝙤𝙡𝙪𝙩𝙞𝙤𝙣 𝙀𝙦𝙪𝙖𝙩𝙞𝙤𝙣𝙨 𝙖𝙣𝙙 𝙏𝙝𝙚𝙞𝙧 𝘼𝙥𝙥𝙡𝙞𝙘𝙖𝙩𝙞𝙤𝙣𝙨
This special issue in 𝗗𝗘𝗠𝗢𝗡𝗦𝗧𝗥𝗔𝗧𝗜𝗢 𝗠𝗔𝗧𝗛𝗘𝗠𝗔𝗧𝗜𝗖𝗔 (𝗜𝗙: 𝟮.𝟬𝟵𝟯) 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 Hirota’s 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:
• Local and global existence of solutions
• Blow-up phenomena
• Estimates of lifespan
• Fractional in time and space evolution equations
• Wave equation
• Schrödinger equation
• Conservation laws
• 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.
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
The deadline for submissions is 𝗔𝗨𝗚𝗨𝗦𝗧 𝟭𝟱, 𝟮𝟬𝟮𝟯, but individual papers will be reviewed and published online on an ongoing basis.
𝑯𝑶𝑾 𝑻𝑶 𝑺𝑼𝑩𝑴𝑰𝑻
All submissions to the Special Issue must be made electronically via the online submission system Editorial Manager:
Please choose the Category “Special Issue on Nonlinear Evolution Equations and Their Applications”.
𝗙𝗼𝗿 𝗺𝗼𝗿𝗲 𝗶𝗻𝗳𝗼𝗿𝗺𝗮𝘁𝗶𝗼𝗻, 𝗽𝗹𝗲𝗮𝘀𝗲 𝘃𝗶𝘀𝗶𝘁 𝗼𝘂𝗿 𝘄𝗲𝗯𝘀𝗶𝘁𝗲.