New conservation laws and exact solutions of coupled Burgers' equation

[1]  A. R. Adem,et al.  Travelling wave solutions of a two-dimensional generalized Sawada–Kotera equation , 2016 .

[2]  M. Kaplan,et al.  Conservation laws and Exact Solutions of Phi-Four (Phi-4) Equation via the (G′/G, 1/G)-Expansion Method , 2016 .

[3]  M. S. Hashemi,et al.  Invariant subspaces admitted by fractional differential equations with conformable derivatives , 2018 .

[4]  Arzu Akbulut,et al.  Auxiliary equation method for time-fractional differential equations with conformable derivative , 2017, Comput. Math. Appl..

[5]  M. S. Hashemi,et al.  On solitons and invariant solutions of the Magneto-electro-elastic circular rod , 2016 .

[6]  M. S. Hashemi,et al.  New exact solution of the conformable Gilson–Pickering equation using the new modified Kudryashov’s method , 2020 .

[7]  Mohammad Tamsir,et al.  One-dimensional coupled Burgers’ equation and its numerical solution by an implicit logarithmic finite-difference method , 2014 .

[8]  Ali Akgül,et al.  Solitary wave solutions of time-space nonlinear fractional Schrödinger's equation: Two analytical approaches , 2017, J. Comput. Appl. Math..

[9]  D. Kaya,et al.  Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics , 2020 .

[10]  Reza Abazari,et al.  Exact solitary wave solutions of the complex Klein–Gordon equation , 2015 .

[11]  C. S. Closed Form Solutions of the Perturbed GerdjikovIvanov Equation With Variable Coefficients , 2021, East Asian Journal on Applied Mathematics.

[12]  Xiaofeng Han,et al.  Dynamics analysis of a delayed virus model with two different transmission methods and treatments , 2020, Advances in Difference Equations.

[13]  Y. S. Hamed,et al.  Computational simulation for the (1 + 1)-dimensional Ito equation arising quantum mechanics and nonlinear optics , 2020 .

[14]  M. Eslami,et al.  New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity , 2020, AIMS Mathematics.

[15]  D. Baleanu,et al.  Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation , 2021 .

[16]  Chaudry Masood Khalique,et al.  Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations , 2016, Commun. Nonlinear Sci. Numer. Simul..

[17]  M. S. Hashemi,et al.  Lie Symmetry Analysis of Fractional Differential Equations , 2020 .

[18]  Asıf Yokuş,et al.  On the exact and numerical solutions to the FitzHugh–Nagumo equation , 2020, International Journal of Modern Physics B.

[19]  A. Seadawy,et al.  On the optical solitons and local conservation laws of Chen–Lee–Liu dynamical wave equation , 2020 .

[20]  Yihao Li,et al.  Explicit Solutions and Conservation Laws of a Coupled Burgers’ Equation , 2017 .

[21]  N. Ibragimov A new conservation theorem , 2007 .

[22]  A. R. Adem,et al.  Double-wave solutions and Lie symmetry analysis to the (2 + 1)-dimensional coupled Burgers equations , 2020 .

[23]  Md Habibul Bashar,et al.  Exact Travelling Wave Solutions of the Nonlinear Evolution Equations by Improved F-Expansion in Mathematical Physics , 2020, Communications in Advanced Mathematical Sciences.

[24]  Abdullahi Rashid Adem,et al.  Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method , 2017, Comput. Math. Appl..

[25]  Abdullahi Rashid Adem,et al.  The generalized (1+1)-dimensional and (2+1)-dimensional Ito equations: Multiple exp-function algorithm and multiple wave solutions , 2016, Comput. Math. Appl..

[26]  Hasan Bulut,et al.  New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method , 2019, Applied Mathematics and Nonlinear Sciences.

[27]  S. Pashayi,et al.  Analytical lie group approach for solving fractional integro-differential equations , 2017, Commun. Nonlinear Sci. Numer. Simul..

[28]  M. Islam,et al.  Application of the improved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations , 2017 .

[29]  M. S. Hashemi,et al.  Classical and nonclassical Lie symmetry analysis to a class of nonlinear time-fractional differential equations , 2016, Nonlinear Dynamics.

[30]  I. Khan,et al.  Optical solitons of fractional complex Ginzburg–Landau equation with conformable, beta, and M-truncated derivatives: a comparative study , 2020 .

[31]  A. A. Soliman,et al.  The modified extended tanh-function method for solving Burgers-type equations , 2006 .

[32]  M. Belić,et al.  Conservation laws for optical solitons with Chen–Lee–Liu equation , 2018, Optik.

[33]  A. Akbulut,et al.  Application of conservation theorem and modified extended tanh-function method to (1+1)-dimensional nonlinear coupled Klein-Gordon-Zakharov equation , 2017 .

[34]  Maria Luz Gandarias,et al.  Conservation laws, symmetries, and exact solutions of the classical Burgers-Fisher equation in two dimensions , 2019, J. Comput. Appl. Math..

[35]  H. Rezazadeh,et al.  New exact solutions for the Kaup-Kupershmidt equation , 2020, AIMS Mathematics.

[36]  Ben Muatjetjeja,et al.  Conservation laws and exact solutions for a 2D Zakharov-Kuznetsov equation , 2015, Appl. Math. Lett..

[37]  G. L. Caraffini,et al.  Symmetries and exact solutions via conservation laws for some partial differential equations of Mathematical Physics , 2012, Appl. Math. Comput..

[38]  A. Adem On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: Multiple exp-function method , 2018, Journal of Applied Analysis.

[39]  Kamruzzaman Khan,et al.  A note on improved F-expansion method combined with Riccati equation applied to nonlinear evolution equations , 2014, Royal Society Open Science.

[41]  Willy Hereman,et al.  Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions , 2010, J. Symb. Comput..

[42]  S. Abdel-Khalek,et al.  Optical solitons of space-time fractional Fokas–Lenells equation with two versatile integration architectures , 2020, Advances in Difference Equations.

[43]  Mostafa M. A. Khater,et al.  Diverse novel analytical and semi-analytical wave solutions of the generalized (2+1)-dimensional shallow water waves model , 2021 .

[44]  W. Hereman,et al.  The tanh method: I. Exact solutions of nonlinear evolution and wave equations , 1996 .

[45]  M. Islam,et al.  The improved F-expansion method and its application to the MEE circular rod equation and the ZKBBM equation , 2017 .

[46]  Chaudry Masood Khalique,et al.  Conserved quantities and solutions of a (2+1)-dimensional Haragus-Courcelle-Il'ichev model , 2016, Comput. Math. Appl..

[47]  Adil Jhangeer,et al.  New general extended direct algebraic approach for optical solitons of Biswas-Arshed equation through birefringent fibers , 2021 .

[48]  Reza Abazari,et al.  Solitary-wave solutions of the Klein-Gordon equation with quintic nonlinearity , 2013 .

[49]  Stephen C. Anco,et al.  Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications , 2001, European Journal of Applied Mathematics.

[50]  T. Nofal,et al.  Study on the applications of two analytical methods for the construction of traveling wave solutions of the modified equal width equation , 2020, Open Physics.

[52]  D. P. Mason,et al.  Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics , 2008, Appl. Math. Comput..

[53]  A. Akbulut,et al.  On symmetries, conservation laws and exact solutions of the nonlinear Schrödinger–Hirota equation , 2018 .

[54]  Nail H. Ibragimov,et al.  Conservation laws and non-invariant solutions of anisotropic wave equations with a source , 2018 .