Solutions of Pell’s Equation - Articles - Scientific Research Publishing

The Pell Equation X² - Dy² = ± k² (Articles)

Amara Chandoul

Advances in Pure Mathematics Vol.1 No.2, March 30, 2011

DOI: 10.4236/apm.2011.12005 7,375 Downloads 18,295 Views Citations
On Polynomials Solutions of Quadratic Diophantine Equations (Articles)

Amara Chandoul

Advances in Pure Mathematics Vol.1 No.4, July 26, 2011

DOI: 10.4236/apm.2011.14028 5,846 Downloads 11,962 Views Citations
Newton, Halley, Pell and the Optimal Iterative High-Order Rational Approximation of √N (Articles)

Isaac Fried

Applied Mathematics Vol.9 No.7, July 30, 2018

DOI: 10.4236/am.2018.97059 1,058 Downloads 2,186 Views Citations
Non-Negative Integer Solutions of Two Diophantine Equations 2^x + 9^y = z² and 5^x + 9^y = z² (Articles)

Md. Al-Amin Khan, Abdur Rashid, Md. Sharif Uddin

Journal of Applied Mathematics and Physics Vol.4 No.4, April 27, 2016

DOI: 10.4236/jamp.2016.44086 2,994 Downloads 7,050 Views Citations
On the Periodicity of Solutions of the System of Rational Difference Equations (Articles)

Abdullah Selçuk Kurbanli, Cengiz Çinar, Dağistan Şımşek

Applied Mathematics Vol.2 No.4, March 31, 2011

DOI: 10.4236/am.2011.24050 5,959 Downloads 11,323 Views Citations
On the Behavior of Solutions of the System of Rational Difference Equations x_n+1=x_n-1/y_nx_n-1-1, y_n+1=y_n-1/x_ny_n-1-1, z_n+1=x_n/y_nz_n-1 (Articles)

Abdullah Selçuk Kurbanlı, Cengiz Çinar, Mehmet Emre Erdoğan

Applied Mathematics Vol.2 No.8, August 8, 2011

DOI: 10.4236/am.2011.28143 4,952 Downloads 11,083 Views Citations
New Exact Solutions of the (2 + 1)-Dimensional AKNS Equation (Articles)

Yepeng Sun

Journal of Applied Mathematics and Physics Vol.3 No.11, November 20, 2015

DOI: 10.4236/jamp.2015.311167 5,051 Downloads 6,424 Views Citations
Periodicity and Solution of Rational Recurrence Relation of Order Six (Articles)

Tarek F. Ibrahim Ibrahim

Applied Mathematics Vol.3 No.7, June 19, 2012

DOI: 10.4236/am.2012.37107 7,118 Downloads 10,652 Views Citations
Classical Fundamental Unique Solution for the Incompressible Navier-Stokes Equation in R^N (Articles)

Waleed S. Khedr

Journal of Applied Mathematics and Physics Vol.5 No.4, April 30, 2017

DOI: 10.4236/jamp.2017.54083 1,707 Downloads 4,054 Views Citations
The Odd Solutions of Equations Involving Euler-Like Function (Articles)

Jiaxin Wu, Zhongyan Shen

Advances in Pure Mathematics Vol.11 No.5, May 25, 2021

DOI: 10.4236/apm.2021.115030 326 Downloads 1,157 Views Citations
New Oscillation Criteria for Second Order Half-Linear Neutral Type Dynamic Equations on Time Scales (Articles)

Faisal Al-Dheleai, Elmetwally Elabbasy

Journal of Applied Mathematics and Physics Vol.9 No.9, September 29, 2021

DOI: 10.4236/jamp.2021.99151 355 Downloads 1,225 Views Citations
Hyperbolic Method to Explore Multiplicity Flow Solutions in a Four-Sided Lid-Driven Cavity (Articles)

Hubert Baty

American Journal of Computational Mathematics Vol.12 No.3, September 6, 2022

DOI: 10.4236/ajcm.2022.123021 305 Downloads 1,007 Views Citations
The Riccati Equation, Differential Transform, Rational Solutions and Applications (Articles)

Malick Ndiaye

Applied Mathematics Vol.13 No.9, September 30, 2022

DOI: 10.4236/am.2022.139049 776 Downloads 8,341 Views Citations
Analytic Solutions for Hindered Rotation Quantum Problem (Articles)

Mirco Ragni

Applied Mathematics Vol.15 No.10, October 11, 2024

DOI: 10.4236/am.2024.1510041 164 Downloads 739 Views Citations
The Interaction and Degeneracy of Mixed Solutions for Derivative Nonlinear Schrödinger Equation (Articles)

Zhen Wu, Shuwei Xu, Tingwang Wu, Haoqi Zhou

Journal of Applied Mathematics and Physics Vol.7 No.11, November 5, 2019

DOI: 10.4236/jamp.2019.711180 859 Downloads 1,982 Views Citations
Solutions of Zhiber-Shabat and Related Equations Using a Modified tanh-coth Function Method (Articles)

Luwai Wazzan

Journal of Applied Mathematics and Physics Vol.4 No.6, June 16, 2016

DOI: 10.4236/jamp.2016.46111 1,986 Downloads 3,371 Views Citations
Applying the General Riccati Equation to Construct New Solitary Wave Solutions with Complex Structure of Burgers-Fisher Equation (Articles)

Bicheng Wu, Hongyan Pan

Open Journal of Applied Sciences Vol.14 No.12, December 31, 2024

DOI: 10.4236/ojapps.2024.1412241 97 Downloads 610 Views Citations
Higher-Order Solitions and Their Mixed Interactions for the (2 + 1)-Dimensional KdV Equation (Articles)

Meiling Duan, Keke Chen

Journal of Applied Mathematics and Physics Vol.13 No.10, October 30, 2025

DOI: 10.4236/jamp.2025.1310195 67 Downloads 283 Views Citations
The New Infinite Sequence Complexion Solutions of a Kind of Nonlinear Evolutionary Equations (Articles)

Lina Yi, Jundong Bao, Taogetusang

Journal of Applied Mathematics and Physics Vol.3 No.12, December 22, 2015

DOI: 10.4236/jamp.2015.312187 3,072 Downloads 4,008 Views Citations
Lie Symmetry Reductions and Exact Solutions of a Multidimensional Double Dispersion Equation (Articles)

Jiali Yu, Fuzhi Li, Lianbing She

Applied Mathematics Vol.8 No.5, May 25, 2017

DOI: 10.4236/am.2017.85056 1,451 Downloads 2,820 Views Citations

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